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Finding the Fourth Proportional to 25,780, 35,577.12 and 14,602.72

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Solution

The fourth proportional to 25,780, 35,577.12 and 14,602.72 is: 20,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780 : 35,577.12 = 14,602.72 : x
  2. Step 2: Convert to fraction form
    25,780/35,577.12 = 14,602.72/x
  3. Step 3: Cross multiply
    25,780x = 35,577.12 × 14,602.72
  4. Step 4: Simplify right side
    25,780x = 519,522,721.77
  5. Step 5: Solve for x
    x = 519,522,721.77/25,780
  6. Step 6: Final answer
    x = 20,152.16

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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.