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Finding the Fourth Proportional to 23,878.34, 32,950.18 and 13,807.43

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Solution

The fourth proportional to 23,878.34, 32,950.18 and 13,807.43 is: 19,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.34 : 32,950.18 = 13,807.43 : x
  2. Step 2: Convert to fraction form
    23,878.34/32,950.18 = 13,807.43/x
  3. Step 3: Cross multiply
    23,878.34x = 32,950.18 × 13,807.43
  4. Step 4: Simplify right side
    23,878.34x = 454,957,303.84
  5. Step 5: Solve for x
    x = 454,957,303.84/23,878.34
  6. Step 6: Final answer
    x = 19,053.14

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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.