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Finding the Fourth Proportional to 25,009.60, 37,514.40 and 6,541.60

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Solution

The fourth proportional to 25,009.60, 37,514.40 and 6,541.60 is: 9,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009.60 : 37,514.40 = 6,541.60 : x
  2. Step 2: Convert to fraction form
    25,009.60/37,514.40 = 6,541.60/x
  3. Step 3: Cross multiply
    25,009.60x = 37,514.40 × 6,541.60
  4. Step 4: Simplify right side
    25,009.60x = 245,404,199.04
  5. Step 5: Solve for x
    x = 245,404,199.04/25,009.60
  6. Step 6: Final answer
    x = 9,812.40

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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.