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Finding the Fourth Proportional to 27,559.19, 38,025.02 and 17,484

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Solution

The fourth proportional to 27,559.19, 38,025.02 and 17,484 is: 24,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559.19 : 38,025.02 = 17,484 : x
  2. Step 2: Convert to fraction form
    27,559.19/38,025.02 = 17,484/x
  3. Step 3: Cross multiply
    27,559.19x = 38,025.02 × 17,484
  4. Step 4: Simplify right side
    27,559.19x = 664,829,362.26
  5. Step 5: Solve for x
    x = 664,829,362.26/27,559.19
  6. Step 6: Final answer
    x = 24,123.69

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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.