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Finding the Fourth Proportional to 28,324, 39,087.12 and 15,748.75

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Solution

The fourth proportional to 28,324, 39,087.12 and 15,748.75 is: 21,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,324 : 39,087.12 = 15,748.75 : x
  2. Step 2: Convert to fraction form
    28,324/39,087.12 = 15,748.75/x
  3. Step 3: Cross multiply
    28,324x = 39,087.12 × 15,748.75
  4. Step 4: Simplify right side
    28,324x = 615,573,281.10
  5. Step 5: Solve for x
    x = 615,573,281.10/28,324
  6. Step 6: Final answer
    x = 21,733.28

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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.