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Finding the Fourth Proportional to 16,275.69, 22,461.09 and 9,561.26

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Solution

The fourth proportional to 16,275.69, 22,461.09 and 9,561.26 is: 13,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.69 : 22,461.09 = 9,561.26 : x
  2. Step 2: Convert to fraction form
    16,275.69/22,461.09 = 9,561.26/x
  3. Step 3: Cross multiply
    16,275.69x = 22,461.09 × 9,561.26
  4. Step 4: Simplify right side
    16,275.69x = 214,756,332.28
  5. Step 5: Solve for x
    x = 214,756,332.28/16,275.69
  6. Step 6: Final answer
    x = 13,194.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.