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Finding the Fourth Proportional to 16,335.16, 22,547.66 and 9,266.28

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Solution

The fourth proportional to 16,335.16, 22,547.66 and 9,266.28 is: 12,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335.16 : 22,547.66 = 9,266.28 : x
  2. Step 2: Convert to fraction form
    16,335.16/22,547.66 = 9,266.28/x
  3. Step 3: Cross multiply
    16,335.16x = 22,547.66 × 9,266.28
  4. Step 4: Simplify right side
    16,335.16x = 208,932,930.90
  5. Step 5: Solve for x
    x = 208,932,930.90/16,335.16
  6. Step 6: Final answer
    x = 12,790.38

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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.