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Finding the Fourth Proportional to 22,353.84, 30,848.87 and 12,662.50

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Solution

The fourth proportional to 22,353.84, 30,848.87 and 12,662.50 is: 17,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,353.84 : 30,848.87 = 12,662.50 : x
  2. Step 2: Convert to fraction form
    22,353.84/30,848.87 = 12,662.50/x
  3. Step 3: Cross multiply
    22,353.84x = 30,848.87 × 12,662.50
  4. Step 4: Simplify right side
    22,353.84x = 390,623,816.38
  5. Step 5: Solve for x
    x = 390,623,816.38/22,353.84
  6. Step 6: Final answer
    x = 17,474.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.