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Finding the Fourth Proportional to 15,111.64, 20,853.34 and 8,397.72

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Solution

The fourth proportional to 15,111.64, 20,853.34 and 8,397.72 is: 11,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.64 : 20,853.34 = 8,397.72 : x
  2. Step 2: Convert to fraction form
    15,111.64/20,853.34 = 8,397.72/x
  3. Step 3: Cross multiply
    15,111.64x = 20,853.34 × 8,397.72
  4. Step 4: Simplify right side
    15,111.64x = 175,120,510.38
  5. Step 5: Solve for x
    x = 175,120,510.38/15,111.64
  6. Step 6: Final answer
    x = 11,588.45

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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.