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Finding the Fourth Proportional to 18,522, 25,566.84 and 11,070

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Solution

The fourth proportional to 18,522, 25,566.84 and 11,070 is: 15,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522 : 25,566.84 = 11,070 : x
  2. Step 2: Convert to fraction form
    18,522/25,566.84 = 11,070/x
  3. Step 3: Cross multiply
    18,522x = 25,566.84 × 11,070
  4. Step 4: Simplify right side
    18,522x = 283,024,918.80
  5. Step 5: Solve for x
    x = 283,024,918.80/18,522
  6. Step 6: Final answer
    x = 15,280.47

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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.