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Finding the Fourth Proportional to 17,856.74, 24,643.02 and 9,898.43

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Solution

The fourth proportional to 17,856.74, 24,643.02 and 9,898.43 is: 13,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.74 : 24,643.02 = 9,898.43 : x
  2. Step 2: Convert to fraction form
    17,856.74/24,643.02 = 9,898.43/x
  3. Step 3: Cross multiply
    17,856.74x = 24,643.02 × 9,898.43
  4. Step 4: Simplify right side
    17,856.74x = 243,927,085.24
  5. Step 5: Solve for x
    x = 243,927,085.24/17,856.74
  6. Step 6: Final answer
    x = 13,660.23

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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.