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Finding the Fourth Proportional to 23,937.60, 35,901.74 and 9,142.98

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Solution

The fourth proportional to 23,937.60, 35,901.74 and 9,142.98 is: 13,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,937.60 : 35,901.74 = 9,142.98 : x
  2. Step 2: Convert to fraction form
    23,937.60/35,901.74 = 9,142.98/x
  3. Step 3: Cross multiply
    23,937.60x = 35,901.74 × 9,142.98
  4. Step 4: Simplify right side
    23,937.60x = 328,248,890.79
  5. Step 5: Solve for x
    x = 328,248,890.79/23,937.60
  6. Step 6: Final answer
    x = 13,712.69

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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.