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Finding the Fourth Proportional to 12,531.64, 17,254.21 and 10,639.48

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Solution

The fourth proportional to 12,531.64, 17,254.21 and 10,639.48 is: 14,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.64 : 17,254.21 = 10,639.48 : x
  2. Step 2: Convert to fraction form
    12,531.64/17,254.21 = 10,639.48/x
  3. Step 3: Cross multiply
    12,531.64x = 17,254.21 × 10,639.48
  4. Step 4: Simplify right side
    12,531.64x = 183,575,682.74
  5. Step 5: Solve for x
    x = 183,575,682.74/12,531.64
  6. Step 6: Final answer
    x = 14,648.98

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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.