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Finding the Fourth Proportional to 23,507.88, 35,263 and 7,714.52

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Solution

The fourth proportional to 23,507.88, 35,263 and 7,714.52 is: 11,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.88 : 35,263 = 7,714.52 : x
  2. Step 2: Convert to fraction form
    23,507.88/35,263 = 7,714.52/x
  3. Step 3: Cross multiply
    23,507.88x = 35,263 × 7,714.52
  4. Step 4: Simplify right side
    23,507.88x = 272,037,118.76
  5. Step 5: Solve for x
    x = 272,037,118.76/23,507.88
  6. Step 6: Final answer
    x = 11,572.17

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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.