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Finding the Fourth Proportional to 15,434.50, 21,305.08 and 9,146.88

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Solution

The fourth proportional to 15,434.50, 21,305.08 and 9,146.88 is: 12,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434.50 : 21,305.08 = 9,146.88 : x
  2. Step 2: Convert to fraction form
    15,434.50/21,305.08 = 9,146.88/x
  3. Step 3: Cross multiply
    15,434.50x = 21,305.08 × 9,146.88
  4. Step 4: Simplify right side
    15,434.50x = 194,875,010.15
  5. Step 5: Solve for x
    x = 194,875,010.15/15,434.50
  6. Step 6: Final answer
    x = 12,625.94

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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.