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Finding the Fourth Proportional to 25,338, 34,967.52 and 14,160

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Solution

The fourth proportional to 25,338, 34,967.52 and 14,160 is: 19,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338 : 34,967.52 = 14,160 : x
  2. Step 2: Convert to fraction form
    25,338/34,967.52 = 14,160/x
  3. Step 3: Cross multiply
    25,338x = 34,967.52 × 14,160
  4. Step 4: Simplify right side
    25,338x = 495,140,083.20
  5. Step 5: Solve for x
    x = 495,140,083.20/25,338
  6. Step 6: Final answer
    x = 19,541.40

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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.