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Finding the Fourth Proportional to 27,145.60, 40,718.40 and 11,564.80

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Solution

The fourth proportional to 27,145.60, 40,718.40 and 11,564.80 is: 17,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.60 : 40,718.40 = 11,564.80 : x
  2. Step 2: Convert to fraction form
    27,145.60/40,718.40 = 11,564.80/x
  3. Step 3: Cross multiply
    27,145.60x = 40,718.40 × 11,564.80
  4. Step 4: Simplify right side
    27,145.60x = 470,900,152.32
  5. Step 5: Solve for x
    x = 470,900,152.32/27,145.60
  6. Step 6: Final answer
    x = 17,347.20

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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.