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Finding the Fourth Proportional to 17,644.23, 24,347.25 and 10,570.47

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Solution

The fourth proportional to 17,644.23, 24,347.25 and 10,570.47 is: 14,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.23 : 24,347.25 = 10,570.47 : x
  2. Step 2: Convert to fraction form
    17,644.23/24,347.25 = 10,570.47/x
  3. Step 3: Cross multiply
    17,644.23x = 24,347.25 × 10,570.47
  4. Step 4: Simplify right side
    17,644.23x = 257,361,875.71
  5. Step 5: Solve for x
    x = 257,361,875.71/17,644.23
  6. Step 6: Final answer
    x = 14,586.18

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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.