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Finding the Fourth Proportional to 23,572.29, 32,530.64 and 14,139.03

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Solution

The fourth proportional to 23,572.29, 32,530.64 and 14,139.03 is: 19,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.29 : 32,530.64 = 14,139.03 : x
  2. Step 2: Convert to fraction form
    23,572.29/32,530.64 = 14,139.03/x
  3. Step 3: Cross multiply
    23,572.29x = 32,530.64 × 14,139.03
  4. Step 4: Simplify right side
    23,572.29x = 459,951,624.18
  5. Step 5: Solve for x
    x = 459,951,624.18/23,572.29
  6. Step 6: Final answer
    x = 19,512.39

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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.