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Finding the Fourth Proportional to 17,877.57, 26,823.65 and 14,400.24

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Solution

The fourth proportional to 17,877.57, 26,823.65 and 14,400.24 is: 21,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.57 : 26,823.65 = 14,400.24 : x
  2. Step 2: Convert to fraction form
    17,877.57/26,823.65 = 14,400.24/x
  3. Step 3: Cross multiply
    17,877.57x = 26,823.65 × 14,400.24
  4. Step 4: Simplify right side
    17,877.57x = 386,266,925.67
  5. Step 5: Solve for x
    x = 386,266,925.67/17,877.57
  6. Step 6: Final answer
    x = 21,606.23

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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.