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Finding the Fourth Proportional to 16,870.74, 23,282.06 and 9,317.18

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Solution

The fourth proportional to 16,870.74, 23,282.06 and 9,317.18 is: 12,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870.74 : 23,282.06 = 9,317.18 : x
  2. Step 2: Convert to fraction form
    16,870.74/23,282.06 = 9,317.18/x
  3. Step 3: Cross multiply
    16,870.74x = 23,282.06 × 9,317.18
  4. Step 4: Simplify right side
    16,870.74x = 216,922,980.79
  5. Step 5: Solve for x
    x = 216,922,980.79/16,870.74
  6. Step 6: Final answer
    x = 12,857.94

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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.