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Finding the Fourth Proportional to 15,417.98, 23,107.50 and 12,851.90

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Solution

The fourth proportional to 15,417.98, 23,107.50 and 12,851.90 is: 19,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417.98 : 23,107.50 = 12,851.90 : x
  2. Step 2: Convert to fraction form
    15,417.98/23,107.50 = 12,851.90/x
  3. Step 3: Cross multiply
    15,417.98x = 23,107.50 × 12,851.90
  4. Step 4: Simplify right side
    15,417.98x = 296,975,279.25
  5. Step 5: Solve for x
    x = 296,975,279.25/15,417.98
  6. Step 6: Final answer
    x = 19,261.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.