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Finding the Fourth Proportional to 16,240.68, 24,290.66 and 9,561.28

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Solution

The fourth proportional to 16,240.68, 24,290.66 and 9,561.28 is: 14,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.68 : 24,290.66 = 9,561.28 : x
  2. Step 2: Convert to fraction form
    16,240.68/24,290.66 = 9,561.28/x
  3. Step 3: Cross multiply
    16,240.68x = 24,290.66 × 9,561.28
  4. Step 4: Simplify right side
    16,240.68x = 232,249,801.64
  5. Step 5: Solve for x
    x = 232,249,801.64/16,240.68
  6. Step 6: Final answer
    x = 14,300.50

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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.