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Finding the Fourth Proportional to 25,287.02, 37,941.47 and 9,701

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Solution

The fourth proportional to 25,287.02, 37,941.47 and 9,701 is: 14,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287.02 : 37,941.47 = 9,701 : x
  2. Step 2: Convert to fraction form
    25,287.02/37,941.47 = 9,701/x
  3. Step 3: Cross multiply
    25,287.02x = 37,941.47 × 9,701
  4. Step 4: Simplify right side
    25,287.02x = 368,070,151.97
  5. Step 5: Solve for x
    x = 368,070,151.97/25,287.02
  6. Step 6: Final answer
    x = 14,555.70

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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.