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Finding the Fourth Proportional to 17,641.48, 24,343.46 and 10,567.72

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Solution

The fourth proportional to 17,641.48, 24,343.46 and 10,567.72 is: 14,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.48 : 24,343.46 = 10,567.72 : x
  2. Step 2: Convert to fraction form
    17,641.48/24,343.46 = 10,567.72/x
  3. Step 3: Cross multiply
    17,641.48x = 24,343.46 × 10,567.72
  4. Step 4: Simplify right side
    17,641.48x = 257,254,869.11
  5. Step 5: Solve for x
    x = 257,254,869.11/17,641.48
  6. Step 6: Final answer
    x = 14,582.39

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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.