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Finding the Fourth Proportional to 25,534.16, 38,298.18 and 6,815.60

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Solution

The fourth proportional to 25,534.16, 38,298.18 and 6,815.60 is: 10,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.16 : 38,298.18 = 6,815.60 : x
  2. Step 2: Convert to fraction form
    25,534.16/38,298.18 = 6,815.60/x
  3. Step 3: Cross multiply
    25,534.16x = 38,298.18 × 6,815.60
  4. Step 4: Simplify right side
    25,534.16x = 261,025,075.61
  5. Step 5: Solve for x
    x = 261,025,075.61/25,534.16
  6. Step 6: Final answer
    x = 10,222.58

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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.