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Finding the Fourth Proportional to 14,575.76, 21,862.38 and 8,875.25

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Solution

The fourth proportional to 14,575.76, 21,862.38 and 8,875.25 is: 13,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.76 : 21,862.38 = 8,875.25 : x
  2. Step 2: Convert to fraction form
    14,575.76/21,862.38 = 8,875.25/x
  3. Step 3: Cross multiply
    14,575.76x = 21,862.38 × 8,875.25
  4. Step 4: Simplify right side
    14,575.76x = 194,034,142.75
  5. Step 5: Solve for x
    x = 194,034,142.75/14,575.76
  6. Step 6: Final answer
    x = 13,312.11

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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.