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Finding the Fourth Proportional to 24,948, 34,425.12 and 14,336.16

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Solution

The fourth proportional to 24,948, 34,425.12 and 14,336.16 is: 19,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948 : 34,425.12 = 14,336.16 : x
  2. Step 2: Convert to fraction form
    24,948/34,425.12 = 14,336.16/x
  3. Step 3: Cross multiply
    24,948x = 34,425.12 × 14,336.16
  4. Step 4: Simplify right side
    24,948x = 493,524,028.34
  5. Step 5: Solve for x
    x = 493,524,028.34/24,948
  6. Step 6: Final answer
    x = 19,782.11

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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.