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Finding the Fourth Proportional to 21,345.66, 32,034.24 and 10,258.74

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Solution

The fourth proportional to 21,345.66, 32,034.24 and 10,258.74 is: 15,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345.66 : 32,034.24 = 10,258.74 : x
  2. Step 2: Convert to fraction form
    21,345.66/32,034.24 = 10,258.74/x
  3. Step 3: Cross multiply
    21,345.66x = 32,034.24 × 10,258.74
  4. Step 4: Simplify right side
    21,345.66x = 328,630,939.26
  5. Step 5: Solve for x
    x = 328,630,939.26/21,345.66
  6. Step 6: Final answer
    x = 15,395.68

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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.