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Finding the Fourth Proportional to 16,528, 22,808.82 and 9,076

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Solution

The fourth proportional to 16,528, 22,808.82 and 9,076 is: 12,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528 : 22,808.82 = 9,076 : x
  2. Step 2: Convert to fraction form
    16,528/22,808.82 = 9,076/x
  3. Step 3: Cross multiply
    16,528x = 22,808.82 × 9,076
  4. Step 4: Simplify right side
    16,528x = 207,012,850.32
  5. Step 5: Solve for x
    x = 207,012,850.32/16,528
  6. Step 6: Final answer
    x = 12,524.98

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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.