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Finding the Fourth Proportional to 25,602.52, 38,407.62 and 7,135.96

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Solution

The fourth proportional to 25,602.52, 38,407.62 and 7,135.96 is: 10,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.52 : 38,407.62 = 7,135.96 : x
  2. Step 2: Convert to fraction form
    25,602.52/38,407.62 = 7,135.96/x
  3. Step 3: Cross multiply
    25,602.52x = 38,407.62 × 7,135.96
  4. Step 4: Simplify right side
    25,602.52x = 274,075,240.02
  5. Step 5: Solve for x
    x = 274,075,240.02/25,602.52
  6. Step 6: Final answer
    x = 10,705.01

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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.