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Finding the Fourth Proportional to 19,543.10, 29,314.65 and 9,701.60

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Solution

The fourth proportional to 19,543.10, 29,314.65 and 9,701.60 is: 14,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543.10 : 29,314.65 = 9,701.60 : x
  2. Step 2: Convert to fraction form
    19,543.10/29,314.65 = 9,701.60/x
  3. Step 3: Cross multiply
    19,543.10x = 29,314.65 × 9,701.60
  4. Step 4: Simplify right side
    19,543.10x = 284,399,008.44
  5. Step 5: Solve for x
    x = 284,399,008.44/19,543.10
  6. Step 6: Final answer
    x = 14,552.40

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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.