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Finding the Fourth Proportional to 16,374.40, 22,595.54 and 9,204.50

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Solution

The fourth proportional to 16,374.40, 22,595.54 and 9,204.50 is: 12,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.40 : 22,595.54 = 9,204.50 : x
  2. Step 2: Convert to fraction form
    16,374.40/22,595.54 = 9,204.50/x
  3. Step 3: Cross multiply
    16,374.40x = 22,595.54 × 9,204.50
  4. Step 4: Simplify right side
    16,374.40x = 207,980,647.93
  5. Step 5: Solve for x
    x = 207,980,647.93/16,374.40
  6. Step 6: Final answer
    x = 12,701.57

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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.