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Finding the Fourth Proportional to 16,510.30, 24,768.65 and 8,302.30

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Solution

The fourth proportional to 16,510.30, 24,768.65 and 8,302.30 is: 12,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.30 : 24,768.65 = 8,302.30 : x
  2. Step 2: Convert to fraction form
    16,510.30/24,768.65 = 8,302.30/x
  3. Step 3: Cross multiply
    16,510.30x = 24,768.65 × 8,302.30
  4. Step 4: Simplify right side
    16,510.30x = 205,636,762.90
  5. Step 5: Solve for x
    x = 205,636,762.90/16,510.30
  6. Step 6: Final answer
    x = 12,455.06

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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.