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Finding the Fourth Proportional to 15,342.84, 23,043.44 and 9,540

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Solution

The fourth proportional to 15,342.84, 23,043.44 and 9,540 is: 14,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.84 : 23,043.44 = 9,540 : x
  2. Step 2: Convert to fraction form
    15,342.84/23,043.44 = 9,540/x
  3. Step 3: Cross multiply
    15,342.84x = 23,043.44 × 9,540
  4. Step 4: Simplify right side
    15,342.84x = 219,834,369.90
  5. Step 5: Solve for x
    x = 219,834,369.90/15,342.84
  6. Step 6: Final answer
    x = 14,328.14

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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.