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Finding the Fourth Proportional to 23,707.49, 32,716.71 and 12,952.85

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Solution

The fourth proportional to 23,707.49, 32,716.71 and 12,952.85 is: 17,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.49 : 32,716.71 = 12,952.85 : x
  2. Step 2: Convert to fraction form
    23,707.49/32,716.71 = 12,952.85/x
  3. Step 3: Cross multiply
    23,707.49x = 32,716.71 × 12,952.85
  4. Step 4: Simplify right side
    23,707.49x = 423,774,473.54
  5. Step 5: Solve for x
    x = 423,774,473.54/23,707.49
  6. Step 6: Final answer
    x = 17,875.13

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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.