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Finding the Fourth Proportional to 15,807.83, 23,704.80 and 8,410.53

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Solution

The fourth proportional to 15,807.83, 23,704.80 and 8,410.53 is: 12,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.83 : 23,704.80 = 8,410.53 : x
  2. Step 2: Convert to fraction form
    15,807.83/23,704.80 = 8,410.53/x
  3. Step 3: Cross multiply
    15,807.83x = 23,704.80 × 8,410.53
  4. Step 4: Simplify right side
    15,807.83x = 199,370,036.21
  5. Step 5: Solve for x
    x = 199,370,036.21/15,807.83
  6. Step 6: Final answer
    x = 12,612.10

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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.