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Finding the Fourth Proportional to 25,363.32, 38,051.58 and 9,775.80

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Solution

The fourth proportional to 25,363.32, 38,051.58 and 9,775.80 is: 14,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363.32 : 38,051.58 = 9,775.80 : x
  2. Step 2: Convert to fraction form
    25,363.32/38,051.58 = 9,775.80/x
  3. Step 3: Cross multiply
    25,363.32x = 38,051.58 × 9,775.80
  4. Step 4: Simplify right side
    25,363.32x = 371,984,635.76
  5. Step 5: Solve for x
    x = 371,984,635.76/25,363.32
  6. Step 6: Final answer
    x = 14,666.24

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