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Finding the Fourth Proportional to 12,714.84, 17,526.78 and 10,352.88

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Solution

The fourth proportional to 12,714.84, 17,526.78 and 10,352.88 is: 14,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.84 : 17,526.78 = 10,352.88 : x
  2. Step 2: Convert to fraction form
    12,714.84/17,526.78 = 10,352.88/x
  3. Step 3: Cross multiply
    12,714.84x = 17,526.78 × 10,352.88
  4. Step 4: Simplify right side
    12,714.84x = 181,452,650.13
  5. Step 5: Solve for x
    x = 181,452,650.13/12,714.84
  6. Step 6: Final answer
    x = 14,270.93

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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.