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Finding the Fourth Proportional to 25,643.34, 38,470.14 and 10,852.20

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Solution

The fourth proportional to 25,643.34, 38,470.14 and 10,852.20 is: 16,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.34 : 38,470.14 = 10,852.20 : x
  2. Step 2: Convert to fraction form
    25,643.34/38,470.14 = 10,852.20/x
  3. Step 3: Cross multiply
    25,643.34x = 38,470.14 × 10,852.20
  4. Step 4: Simplify right side
    25,643.34x = 417,485,653.31
  5. Step 5: Solve for x
    x = 417,485,653.31/25,643.34
  6. Step 6: Final answer
    x = 16,280.47

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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.