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Finding the Fourth Proportional to 25,708.32, 38,557.08 and 7,236

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Solution

The fourth proportional to 25,708.32, 38,557.08 and 7,236 is: 10,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.32 : 38,557.08 = 7,236 : x
  2. Step 2: Convert to fraction form
    25,708.32/38,557.08 = 7,236/x
  3. Step 3: Cross multiply
    25,708.32x = 38,557.08 × 7,236
  4. Step 4: Simplify right side
    25,708.32x = 278,999,030.88
  5. Step 5: Solve for x
    x = 278,999,030.88/25,708.32
  6. Step 6: Final answer
    x = 10,852.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.