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Finding the Fourth Proportional to 17,835.46, 24,612.59 and 9,877.75

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Solution

The fourth proportional to 17,835.46, 24,612.59 and 9,877.75 is: 13,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.46 : 24,612.59 = 9,877.75 : x
  2. Step 2: Convert to fraction form
    17,835.46/24,612.59 = 9,877.75/x
  3. Step 3: Cross multiply
    17,835.46x = 24,612.59 × 9,877.75
  4. Step 4: Simplify right side
    17,835.46x = 243,116,974.04
  5. Step 5: Solve for x
    x = 243,116,974.04/17,835.46
  6. Step 6: Final answer
    x = 13,631.10

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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.