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Finding the Fourth Proportional to 24,877.64, 34,328.54 and 14,119.08

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Solution

The fourth proportional to 24,877.64, 34,328.54 and 14,119.08 is: 19,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,877.64 : 34,328.54 = 14,119.08 : x
  2. Step 2: Convert to fraction form
    24,877.64/34,328.54 = 14,119.08/x
  3. Step 3: Cross multiply
    24,877.64x = 34,328.54 × 14,119.08
  4. Step 4: Simplify right side
    24,877.64x = 484,687,402.54
  5. Step 5: Solve for x
    x = 484,687,402.54/24,877.64
  6. Step 6: Final answer
    x = 19,482.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.