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Finding the Fourth Proportional to 16,547.84, 22,826.85 and 10,486.95

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Solution

The fourth proportional to 16,547.84, 22,826.85 and 10,486.95 is: 14,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.84 : 22,826.85 = 10,486.95 : x
  2. Step 2: Convert to fraction form
    16,547.84/22,826.85 = 10,486.95/x
  3. Step 3: Cross multiply
    16,547.84x = 22,826.85 × 10,486.95
  4. Step 4: Simplify right side
    16,547.84x = 239,384,034.61
  5. Step 5: Solve for x
    x = 239,384,034.61/16,547.84
  6. Step 6: Final answer
    x = 14,466.18

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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.