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Finding the Fourth Proportional to 23,569.19, 32,527.22 and 12,959

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Solution

The fourth proportional to 23,569.19, 32,527.22 and 12,959 is: 17,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,569.19 : 32,527.22 = 12,959 : x
  2. Step 2: Convert to fraction form
    23,569.19/32,527.22 = 12,959/x
  3. Step 3: Cross multiply
    23,569.19x = 32,527.22 × 12,959
  4. Step 4: Simplify right side
    23,569.19x = 421,520,243.98
  5. Step 5: Solve for x
    x = 421,520,243.98/23,569.19
  6. Step 6: Final answer
    x = 17,884.38

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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.