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Finding the Fourth Proportional to 16,570.76, 22,867.65 and 9,497.18

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Solution

The fourth proportional to 16,570.76, 22,867.65 and 9,497.18 is: 13,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.76 : 22,867.65 = 9,497.18 : x
  2. Step 2: Convert to fraction form
    16,570.76/22,867.65 = 9,497.18/x
  3. Step 3: Cross multiply
    16,570.76x = 22,867.65 × 9,497.18
  4. Step 4: Simplify right side
    16,570.76x = 217,178,245.40
  5. Step 5: Solve for x
    x = 217,178,245.40/16,570.76
  6. Step 6: Final answer
    x = 13,106.12

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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.