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Finding the Fourth Proportional to 15,304.48, 22,948.80 and 7,907.20

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Solution

The fourth proportional to 15,304.48, 22,948.80 and 7,907.20 is: 11,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304.48 : 22,948.80 = 7,907.20 : x
  2. Step 2: Convert to fraction form
    15,304.48/22,948.80 = 7,907.20/x
  3. Step 3: Cross multiply
    15,304.48x = 22,948.80 × 7,907.20
  4. Step 4: Simplify right side
    15,304.48x = 181,460,751.36
  5. Step 5: Solve for x
    x = 181,460,751.36/15,304.48
  6. Step 6: Final answer
    x = 11,856.71

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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.