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Finding the Fourth Proportional to 25,022.78, 37,532.55 and 9,440

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Solution

The fourth proportional to 25,022.78, 37,532.55 and 9,440 is: 14,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,022.78 : 37,532.55 = 9,440 : x
  2. Step 2: Convert to fraction form
    25,022.78/37,532.55 = 9,440/x
  3. Step 3: Cross multiply
    25,022.78x = 37,532.55 × 9,440
  4. Step 4: Simplify right side
    25,022.78x = 354,307,272
  5. Step 5: Solve for x
    x = 354,307,272/25,022.78
  6. Step 6: Final answer
    x = 14,159.39

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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.