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Finding the Fourth Proportional to 15,884.24, 23,841.88 and 7,569.99

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Solution

The fourth proportional to 15,884.24, 23,841.88 and 7,569.99 is: 11,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.24 : 23,841.88 = 7,569.99 : x
  2. Step 2: Convert to fraction form
    15,884.24/23,841.88 = 7,569.99/x
  3. Step 3: Cross multiply
    15,884.24x = 23,841.88 × 7,569.99
  4. Step 4: Simplify right side
    15,884.24x = 180,482,774.26
  5. Step 5: Solve for x
    x = 180,482,774.26/15,884.24
  6. Step 6: Final answer
    x = 11,362.38

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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.