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Finding the Fourth Proportional to 27,580.64, 38,061.47 and 15,005.39

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Solution

The fourth proportional to 27,580.64, 38,061.47 and 15,005.39 is: 20,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.64 : 38,061.47 = 15,005.39 : x
  2. Step 2: Convert to fraction form
    27,580.64/38,061.47 = 15,005.39/x
  3. Step 3: Cross multiply
    27,580.64x = 38,061.47 × 15,005.39
  4. Step 4: Simplify right side
    27,580.64x = 571,127,048.53
  5. Step 5: Solve for x
    x = 571,127,048.53/27,580.64
  6. Step 6: Final answer
    x = 20,707.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.