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Finding the Fourth Proportional to 25,113, 37,668.59 and 7,582.38

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Solution

The fourth proportional to 25,113, 37,668.59 and 7,582.38 is: 11,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113 : 37,668.59 = 7,582.38 : x
  2. Step 2: Convert to fraction form
    25,113/37,668.59 = 7,582.38/x
  3. Step 3: Cross multiply
    25,113x = 37,668.59 × 7,582.38
  4. Step 4: Simplify right side
    25,113x = 285,617,563.44
  5. Step 5: Solve for x
    x = 285,617,563.44/25,113
  6. Step 6: Final answer
    x = 11,373.30

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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.