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Finding the Fourth Proportional to 16,348.19, 22,559.76 and 9,275.94

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Solution

The fourth proportional to 16,348.19, 22,559.76 and 9,275.94 is: 12,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.19 : 22,559.76 = 9,275.94 : x
  2. Step 2: Convert to fraction form
    16,348.19/22,559.76 = 9,275.94/x
  3. Step 3: Cross multiply
    16,348.19x = 22,559.76 × 9,275.94
  4. Step 4: Simplify right side
    16,348.19x = 209,262,980.17
  5. Step 5: Solve for x
    x = 209,262,980.17/16,348.19
  6. Step 6: Final answer
    x = 12,800.38

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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.