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Finding the Fourth Proportional to 23,710.76, 32,719.65 and 13,098.34

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Solution

The fourth proportional to 23,710.76, 32,719.65 and 13,098.34 is: 18,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.76 : 32,719.65 = 13,098.34 : x
  2. Step 2: Convert to fraction form
    23,710.76/32,719.65 = 13,098.34/x
  3. Step 3: Cross multiply
    23,710.76x = 32,719.65 × 13,098.34
  4. Step 4: Simplify right side
    23,710.76x = 428,573,100.38
  5. Step 5: Solve for x
    x = 428,573,100.38/23,710.76
  6. Step 6: Final answer
    x = 18,075.05

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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.