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Finding the Fourth Proportional to 16,646.25, 22,972.51 and 9,572.67

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Solution

The fourth proportional to 16,646.25, 22,972.51 and 9,572.67 is: 13,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.25 : 22,972.51 = 9,572.67 : x
  2. Step 2: Convert to fraction form
    16,646.25/22,972.51 = 9,572.67/x
  3. Step 3: Cross multiply
    16,646.25x = 22,972.51 × 9,572.67
  4. Step 4: Simplify right side
    16,646.25x = 219,908,209.44
  5. Step 5: Solve for x
    x = 219,908,209.44/16,646.25
  6. Step 6: Final answer
    x = 13,210.68

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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.