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Finding the Fourth Proportional to 23,332.59, 32,199.62 and 14,259.42

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Solution

The fourth proportional to 23,332.59, 32,199.62 and 14,259.42 is: 19,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332.59 : 32,199.62 = 14,259.42 : x
  2. Step 2: Convert to fraction form
    23,332.59/32,199.62 = 14,259.42/x
  3. Step 3: Cross multiply
    23,332.59x = 32,199.62 × 14,259.42
  4. Step 4: Simplify right side
    23,332.59x = 459,147,905.42
  5. Step 5: Solve for x
    x = 459,147,905.42/23,332.59
  6. Step 6: Final answer
    x = 19,678.39

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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.