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Finding the Fourth Proportional to 25,393.66, 35,047.38 and 15,184

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Solution

The fourth proportional to 25,393.66, 35,047.38 and 15,184 is: 20,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,393.66 : 35,047.38 = 15,184 : x
  2. Step 2: Convert to fraction form
    25,393.66/35,047.38 = 15,184/x
  3. Step 3: Cross multiply
    25,393.66x = 35,047.38 × 15,184
  4. Step 4: Simplify right side
    25,393.66x = 532,159,417.92
  5. Step 5: Solve for x
    x = 532,159,417.92/25,393.66
  6. Step 6: Final answer
    x = 20,956.39

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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.