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Finding the Fourth Proportional to 17,565.08, 24,237.42 and 10,490

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Solution

The fourth proportional to 17,565.08, 24,237.42 and 10,490 is: 14,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.08 : 24,237.42 = 10,490 : x
  2. Step 2: Convert to fraction form
    17,565.08/24,237.42 = 10,490/x
  3. Step 3: Cross multiply
    17,565.08x = 24,237.42 × 10,490
  4. Step 4: Simplify right side
    17,565.08x = 254,250,535.80
  5. Step 5: Solve for x
    x = 254,250,535.80/17,565.08
  6. Step 6: Final answer
    x = 14,474.77

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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.