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Finding the Fourth Proportional to 12,547.50, 18,821.64 and 4,651.98

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Solution

The fourth proportional to 12,547.50, 18,821.64 and 4,651.98 is: 6,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.50 : 18,821.64 = 4,651.98 : x
  2. Step 2: Convert to fraction form
    12,547.50/18,821.64 = 4,651.98/x
  3. Step 3: Cross multiply
    12,547.50x = 18,821.64 × 4,651.98
  4. Step 4: Simplify right side
    12,547.50x = 87,557,892.85
  5. Step 5: Solve for x
    x = 87,557,892.85/12,547.50
  6. Step 6: Final answer
    x = 6,978.11

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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.