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Finding the Fourth Proportional to 25,866.54, 38,802.86 and 9,228.95

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Solution

The fourth proportional to 25,866.54, 38,802.86 and 9,228.95 is: 13,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.54 : 38,802.86 = 9,228.95 : x
  2. Step 2: Convert to fraction form
    25,866.54/38,802.86 = 9,228.95/x
  3. Step 3: Cross multiply
    25,866.54x = 38,802.86 × 9,228.95
  4. Step 4: Simplify right side
    25,866.54x = 358,109,414.64
  5. Step 5: Solve for x
    x = 358,109,414.64/25,866.54
  6. Step 6: Final answer
    x = 13,844.50

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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.