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Finding the Fourth Proportional to 25,695.44, 38,541.48 and 8,166.32

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Solution

The fourth proportional to 25,695.44, 38,541.48 and 8,166.32 is: 12,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.44 : 38,541.48 = 8,166.32 : x
  2. Step 2: Convert to fraction form
    25,695.44/38,541.48 = 8,166.32/x
  3. Step 3: Cross multiply
    25,695.44x = 38,541.48 × 8,166.32
  4. Step 4: Simplify right side
    25,695.44x = 314,742,058.95
  5. Step 5: Solve for x
    x = 314,742,058.95/25,695.44
  6. Step 6: Final answer
    x = 12,248.95

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Why These Related Problems?

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