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Finding the Fourth Proportional to 25,339.28, 34,965.12 and 14,007.22

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Solution

The fourth proportional to 25,339.28, 34,965.12 and 14,007.22 is: 19,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,339.28 : 34,965.12 = 14,007.22 : x
  2. Step 2: Convert to fraction form
    25,339.28/34,965.12 = 14,007.22/x
  3. Step 3: Cross multiply
    25,339.28x = 34,965.12 × 14,007.22
  4. Step 4: Simplify right side
    25,339.28x = 489,763,953.34
  5. Step 5: Solve for x
    x = 489,763,953.34/25,339.28
  6. Step 6: Final answer
    x = 19,328.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.