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Finding the Fourth Proportional to 25,097.42, 37,646.35 and 8,230.18

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Solution

The fourth proportional to 25,097.42, 37,646.35 and 8,230.18 is: 12,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.42 : 37,646.35 = 8,230.18 : x
  2. Step 2: Convert to fraction form
    25,097.42/37,646.35 = 8,230.18/x
  3. Step 3: Cross multiply
    25,097.42x = 37,646.35 × 8,230.18
  4. Step 4: Simplify right side
    25,097.42x = 309,836,153.01
  5. Step 5: Solve for x
    x = 309,836,153.01/25,097.42
  6. Step 6: Final answer
    x = 12,345.34

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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.