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Finding the Fourth Proportional to 17,875.90, 24,672.34 and 10,323.46

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Solution

The fourth proportional to 17,875.90, 24,672.34 and 10,323.46 is: 14,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.90 : 24,672.34 = 10,323.46 : x
  2. Step 2: Convert to fraction form
    17,875.90/24,672.34 = 10,323.46/x
  3. Step 3: Cross multiply
    17,875.90x = 24,672.34 × 10,323.46
  4. Step 4: Simplify right side
    17,875.90x = 254,703,915.10
  5. Step 5: Solve for x
    x = 254,703,915.10/17,875.90
  6. Step 6: Final answer
    x = 14,248.45

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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.