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Finding the Fourth Proportional to 25,665.21, 38,510.06 and 13,978.17

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Solution

The fourth proportional to 25,665.21, 38,510.06 and 13,978.17 is: 20,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.21 : 38,510.06 = 13,978.17 : x
  2. Step 2: Convert to fraction form
    25,665.21/38,510.06 = 13,978.17/x
  3. Step 3: Cross multiply
    25,665.21x = 38,510.06 × 13,978.17
  4. Step 4: Simplify right side
    25,665.21x = 538,300,095.50
  5. Step 5: Solve for x
    x = 538,300,095.50/25,665.21
  6. Step 6: Final answer
    x = 20,973.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.