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Finding the Fourth Proportional to 12,875.42, 17,754.53 and 9,525.20

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Solution

The fourth proportional to 12,875.42, 17,754.53 and 9,525.20 is: 13,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.42 : 17,754.53 = 9,525.20 : x
  2. Step 2: Convert to fraction form
    12,875.42/17,754.53 = 9,525.20/x
  3. Step 3: Cross multiply
    12,875.42x = 17,754.53 × 9,525.20
  4. Step 4: Simplify right side
    12,875.42x = 169,115,312.76
  5. Step 5: Solve for x
    x = 169,115,312.76/12,875.42
  6. Step 6: Final answer
    x = 13,134.74

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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.