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Finding the Fourth Proportional to 15,195.84, 22,783.92 and 9,985.92

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Solution

The fourth proportional to 15,195.84, 22,783.92 and 9,985.92 is: 14,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,195.84 : 22,783.92 = 9,985.92 : x
  2. Step 2: Convert to fraction form
    15,195.84/22,783.92 = 9,985.92/x
  3. Step 3: Cross multiply
    15,195.84x = 22,783.92 × 9,985.92
  4. Step 4: Simplify right side
    15,195.84x = 227,518,402.41
  5. Step 5: Solve for x
    x = 227,518,402.41/15,195.84
  6. Step 6: Final answer
    x = 14,972.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.