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Finding the Fourth Proportional to 16,159.71, 22,302.14 and 9,447.60

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Solution

The fourth proportional to 16,159.71, 22,302.14 and 9,447.60 is: 13,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.71 : 22,302.14 = 9,447.60 : x
  2. Step 2: Convert to fraction form
    16,159.71/22,302.14 = 9,447.60/x
  3. Step 3: Cross multiply
    16,159.71x = 22,302.14 × 9,447.60
  4. Step 4: Simplify right side
    16,159.71x = 210,701,697.86
  5. Step 5: Solve for x
    x = 210,701,697.86/16,159.71
  6. Step 6: Final answer
    x = 13,038.71

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