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Finding the Fourth Proportional to 23,823.99, 32,878.59 and 13,754.28

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Solution

The fourth proportional to 23,823.99, 32,878.59 and 13,754.28 is: 18,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.99 : 32,878.59 = 13,754.28 : x
  2. Step 2: Convert to fraction form
    23,823.99/32,878.59 = 13,754.28/x
  3. Step 3: Cross multiply
    23,823.99x = 32,878.59 × 13,754.28
  4. Step 4: Simplify right side
    23,823.99x = 452,221,332.87
  5. Step 5: Solve for x
    x = 452,221,332.87/23,823.99
  6. Step 6: Final answer
    x = 18,981.76

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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.