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Finding the Fourth Proportional to 24,047.46, 36,070.80 and 9,259.59

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Solution

The fourth proportional to 24,047.46, 36,070.80 and 9,259.59 is: 13,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.46 : 36,070.80 = 9,259.59 : x
  2. Step 2: Convert to fraction form
    24,047.46/36,070.80 = 9,259.59/x
  3. Step 3: Cross multiply
    24,047.46x = 36,070.80 × 9,259.59
  4. Step 4: Simplify right side
    24,047.46x = 334,000,818.97
  5. Step 5: Solve for x
    x = 334,000,818.97/24,047.46
  6. Step 6: Final answer
    x = 13,889.23

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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.