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Finding the Fourth Proportional to 14,938.40, 22,407.60 and 9,689.60

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Solution

The fourth proportional to 14,938.40, 22,407.60 and 9,689.60 is: 14,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.40 : 22,407.60 = 9,689.60 : x
  2. Step 2: Convert to fraction form
    14,938.40/22,407.60 = 9,689.60/x
  3. Step 3: Cross multiply
    14,938.40x = 22,407.60 × 9,689.60
  4. Step 4: Simplify right side
    14,938.40x = 217,120,680.96
  5. Step 5: Solve for x
    x = 217,120,680.96/14,938.40
  6. Step 6: Final answer
    x = 14,534.40

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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.