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Finding the Fourth Proportional to 25,000, 34,500.72 and 13,822.72

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Solution

The fourth proportional to 25,000, 34,500.72 and 13,822.72 is: 19,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,000 : 34,500.72 = 13,822.72 : x
  2. Step 2: Convert to fraction form
    25,000/34,500.72 = 13,822.72/x
  3. Step 3: Cross multiply
    25,000x = 34,500.72 × 13,822.72
  4. Step 4: Simplify right side
    25,000x = 476,893,792.36
  5. Step 5: Solve for x
    x = 476,893,792.36/25,000
  6. Step 6: Final answer
    x = 19,075.75

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1.5x scale

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.