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Finding the Fourth Proportional to 15,158.08, 22,771.68 and 14,536

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Solution

The fourth proportional to 15,158.08, 22,771.68 and 14,536 is: 21,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,158.08 : 22,771.68 = 14,536 : x
  2. Step 2: Convert to fraction form
    15,158.08/22,771.68 = 14,536/x
  3. Step 3: Cross multiply
    15,158.08x = 22,771.68 × 14,536
  4. Step 4: Simplify right side
    15,158.08x = 331,009,140.48
  5. Step 5: Solve for x
    x = 331,009,140.48/15,158.08
  6. Step 6: Final answer
    x = 21,837.14

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