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Finding the Fourth Proportional to 16,510.32, 22,776.66 and 10,539

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Solution

The fourth proportional to 16,510.32, 22,776.66 and 10,539 is: 14,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.32 : 22,776.66 = 10,539 : x
  2. Step 2: Convert to fraction form
    16,510.32/22,776.66 = 10,539/x
  3. Step 3: Cross multiply
    16,510.32x = 22,776.66 × 10,539
  4. Step 4: Simplify right side
    16,510.32x = 240,043,219.74
  5. Step 5: Solve for x
    x = 240,043,219.74/16,510.32
  6. Step 6: Final answer
    x = 14,538.98

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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.