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Finding the Fourth Proportional to 12,566.88, 17,325.36 and 10,434.78

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Solution

The fourth proportional to 12,566.88, 17,325.36 and 10,434.78 is: 14,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.88 : 17,325.36 = 10,434.78 : x
  2. Step 2: Convert to fraction form
    12,566.88/17,325.36 = 10,434.78/x
  3. Step 3: Cross multiply
    12,566.88x = 17,325.36 × 10,434.78
  4. Step 4: Simplify right side
    12,566.88x = 180,786,320.02
  5. Step 5: Solve for x
    x = 180,786,320.02/12,566.88
  6. Step 6: Final answer
    x = 14,385.94

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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.