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Finding the Fourth Proportional to 15,752.10, 23,619.95 and 7,429.88

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Solution

The fourth proportional to 15,752.10, 23,619.95 and 7,429.88 is: 11,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.10 : 23,619.95 = 7,429.88 : x
  2. Step 2: Convert to fraction form
    15,752.10/23,619.95 = 7,429.88/x
  3. Step 3: Cross multiply
    15,752.10x = 23,619.95 × 7,429.88
  4. Step 4: Simplify right side
    15,752.10x = 175,493,416.01
  5. Step 5: Solve for x
    x = 175,493,416.01/15,752.10
  6. Step 6: Final answer
    x = 11,140.95

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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.