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Finding the Fourth Proportional to 25,762.31, 38,632.31 and 8,897.10

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Solution

The fourth proportional to 25,762.31, 38,632.31 and 8,897.10 is: 13,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.31 : 38,632.31 = 8,897.10 : x
  2. Step 2: Convert to fraction form
    25,762.31/38,632.31 = 8,897.10/x
  3. Step 3: Cross multiply
    25,762.31x = 38,632.31 × 8,897.10
  4. Step 4: Simplify right side
    25,762.31x = 343,715,525.30
  5. Step 5: Solve for x
    x = 343,715,525.30/25,762.31
  6. Step 6: Final answer
    x = 13,341.80

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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.