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Finding the Fourth Proportional to 25,433.36, 38,139.48 and 9,842

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Solution

The fourth proportional to 25,433.36, 38,139.48 and 9,842 is: 14,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,433.36 : 38,139.48 = 9,842 : x
  2. Step 2: Convert to fraction form
    25,433.36/38,139.48 = 9,842/x
  3. Step 3: Cross multiply
    25,433.36x = 38,139.48 × 9,842
  4. Step 4: Simplify right side
    25,433.36x = 375,368,762.16
  5. Step 5: Solve for x
    x = 375,368,762.16/25,433.36
  6. Step 6: Final answer
    x = 14,758.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.