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Finding the Fourth Proportional to 25,520.47, 38,284.65 and 7,988.63

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Solution

The fourth proportional to 25,520.47, 38,284.65 and 7,988.63 is: 11,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,520.47 : 38,284.65 = 7,988.63 : x
  2. Step 2: Convert to fraction form
    25,520.47/38,284.65 = 7,988.63/x
  3. Step 3: Cross multiply
    25,520.47x = 38,284.65 × 7,988.63
  4. Step 4: Simplify right side
    25,520.47x = 305,841,712.11
  5. Step 5: Solve for x
    x = 305,841,712.11/25,520.47
  6. Step 6: Final answer
    x = 11,984.17

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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.