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Finding the Fourth Proportional to 14,688.60, 22,032.90 and 9,742.20

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Solution

The fourth proportional to 14,688.60, 22,032.90 and 9,742.20 is: 14,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688.60 : 22,032.90 = 9,742.20 : x
  2. Step 2: Convert to fraction form
    14,688.60/22,032.90 = 9,742.20/x
  3. Step 3: Cross multiply
    14,688.60x = 22,032.90 × 9,742.20
  4. Step 4: Simplify right side
    14,688.60x = 214,648,918.38
  5. Step 5: Solve for x
    x = 214,648,918.38/14,688.60
  6. Step 6: Final answer
    x = 14,613.30

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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.