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Finding the Fourth Proportional to 25,642.01, 38,480.21 and 9,002.09

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Solution

The fourth proportional to 25,642.01, 38,480.21 and 9,002.09 is: 13,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.01 : 38,480.21 = 9,002.09 : x
  2. Step 2: Convert to fraction form
    25,642.01/38,480.21 = 9,002.09/x
  3. Step 3: Cross multiply
    25,642.01x = 38,480.21 × 9,002.09
  4. Step 4: Simplify right side
    25,642.01x = 346,402,076.23
  5. Step 5: Solve for x
    x = 346,402,076.23/25,642.01
  6. Step 6: Final answer
    x = 13,509.16

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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.