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Finding the Fourth Proportional to 15,431.34, 23,011.50 and 15,291

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Solution

The fourth proportional to 15,431.34, 23,011.50 and 15,291 is: 22,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.34 : 23,011.50 = 15,291 : x
  2. Step 2: Convert to fraction form
    15,431.34/23,011.50 = 15,291/x
  3. Step 3: Cross multiply
    15,431.34x = 23,011.50 × 15,291
  4. Step 4: Simplify right side
    15,431.34x = 351,868,846.50
  5. Step 5: Solve for x
    x = 351,868,846.50/15,431.34
  6. Step 6: Final answer
    x = 22,802.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.