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Finding the Fourth Proportional to 15,641.40, 23,403.24 and 10,970.53

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Solution

The fourth proportional to 15,641.40, 23,403.24 and 10,970.53 is: 16,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.40 : 23,403.24 = 10,970.53 : x
  2. Step 2: Convert to fraction form
    15,641.40/23,403.24 = 10,970.53/x
  3. Step 3: Cross multiply
    15,641.40x = 23,403.24 × 10,970.53
  4. Step 4: Simplify right side
    15,641.40x = 256,745,946.52
  5. Step 5: Solve for x
    x = 256,745,946.52/15,641.40
  6. Step 6: Final answer
    x = 16,414.51

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