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Finding the Fourth Proportional to 15,977.30, 22,039.17 and 12,434.90

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Solution

The fourth proportional to 15,977.30, 22,039.17 and 12,434.90 is: 17,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.30 : 22,039.17 = 12,434.90 : x
  2. Step 2: Convert to fraction form
    15,977.30/22,039.17 = 12,434.90/x
  3. Step 3: Cross multiply
    15,977.30x = 22,039.17 × 12,434.90
  4. Step 4: Simplify right side
    15,977.30x = 274,054,875.03
  5. Step 5: Solve for x
    x = 274,054,875.03/15,977.30
  6. Step 6: Final answer
    x = 17,152.77

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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.