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Finding the Fourth Proportional to 25,719, 35,492.22 and 14,543.16

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Solution

The fourth proportional to 25,719, 35,492.22 and 14,543.16 is: 20,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,719 : 35,492.22 = 14,543.16 : x
  2. Step 2: Convert to fraction form
    25,719/35,492.22 = 14,543.16/x
  3. Step 3: Cross multiply
    25,719x = 35,492.22 × 14,543.16
  4. Step 4: Simplify right side
    25,719x = 516,169,034.22
  5. Step 5: Solve for x
    x = 516,169,034.22/25,719
  6. Step 6: Final answer
    x = 20,069.56

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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.