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Finding the Fourth Proportional to 16,424.16, 22,657.21 and 9,706.53

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Solution

The fourth proportional to 16,424.16, 22,657.21 and 9,706.53 is: 13,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.16 : 22,657.21 = 9,706.53 : x
  2. Step 2: Convert to fraction form
    16,424.16/22,657.21 = 9,706.53/x
  3. Step 3: Cross multiply
    16,424.16x = 22,657.21 × 9,706.53
  4. Step 4: Simplify right side
    16,424.16x = 219,922,888.58
  5. Step 5: Solve for x
    x = 219,922,888.58/16,424.16
  6. Step 6: Final answer
    x = 13,390.21

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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.