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Finding the Fourth Proportional to 25,195.40, 37,798.72 and 7,666.59

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Solution

The fourth proportional to 25,195.40, 37,798.72 and 7,666.59 is: 11,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,195.40 : 37,798.72 = 7,666.59 : x
  2. Step 2: Convert to fraction form
    25,195.40/37,798.72 = 7,666.59/x
  3. Step 3: Cross multiply
    25,195.40x = 37,798.72 × 7,666.59
  4. Step 4: Simplify right side
    25,195.40x = 289,787,364.10
  5. Step 5: Solve for x
    x = 289,787,364.10/25,195.40
  6. Step 6: Final answer
    x = 11,501.60

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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.