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Finding the Fourth Proportional to 14,985.34, 22,478.01 and 8,411.38

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Solution

The fourth proportional to 14,985.34, 22,478.01 and 8,411.38 is: 12,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985.34 : 22,478.01 = 8,411.38 : x
  2. Step 2: Convert to fraction form
    14,985.34/22,478.01 = 8,411.38/x
  3. Step 3: Cross multiply
    14,985.34x = 22,478.01 × 8,411.38
  4. Step 4: Simplify right side
    14,985.34x = 189,070,996.02
  5. Step 5: Solve for x
    x = 189,070,996.02/14,985.34
  6. Step 6: Final answer
    x = 12,617.07

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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.