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Finding the Fourth Proportional to 28,002.60, 38,641.74 and 15,427.34

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Solution

The fourth proportional to 28,002.60, 38,641.74 and 15,427.34 is: 21,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,002.60 : 38,641.74 = 15,427.34 : x
  2. Step 2: Convert to fraction form
    28,002.60/38,641.74 = 15,427.34/x
  3. Step 3: Cross multiply
    28,002.60x = 38,641.74 × 15,427.34
  4. Step 4: Simplify right side
    28,002.60x = 596,139,261.17
  5. Step 5: Solve for x
    x = 596,139,261.17/28,002.60
  6. Step 6: Final answer
    x = 21,288.71

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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.