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Finding the Fourth Proportional to 16,297.46, 22,510.80 and 12,565.92

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Solution

The fourth proportional to 16,297.46, 22,510.80 and 12,565.92 is: 17,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.46 : 22,510.80 = 12,565.92 : x
  2. Step 2: Convert to fraction form
    16,297.46/22,510.80 = 12,565.92/x
  3. Step 3: Cross multiply
    16,297.46x = 22,510.80 × 12,565.92
  4. Step 4: Simplify right side
    16,297.46x = 282,868,911.94
  5. Step 5: Solve for x
    x = 282,868,911.94/16,297.46
  6. Step 6: Final answer
    x = 17,356.63

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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.