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Finding the Fourth Proportional to 24,113.64, 36,142.74 and 9,316.08

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Solution

The fourth proportional to 24,113.64, 36,142.74 and 9,316.08 is: 13,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.64 : 36,142.74 = 9,316.08 : x
  2. Step 2: Convert to fraction form
    24,113.64/36,142.74 = 9,316.08/x
  3. Step 3: Cross multiply
    24,113.64x = 36,142.74 × 9,316.08
  4. Step 4: Simplify right side
    24,113.64x = 336,708,657.26
  5. Step 5: Solve for x
    x = 336,708,657.26/24,113.64
  6. Step 6: Final answer
    x = 13,963.41

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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.