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Finding the Fourth Proportional to 12,566.53, 18,825.09 and 6,319

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Solution

The fourth proportional to 12,566.53, 18,825.09 and 6,319 is: 9,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.53 : 18,825.09 = 6,319 : x
  2. Step 2: Convert to fraction form
    12,566.53/18,825.09 = 6,319/x
  3. Step 3: Cross multiply
    12,566.53x = 18,825.09 × 6,319
  4. Step 4: Simplify right side
    12,566.53x = 118,955,743.71
  5. Step 5: Solve for x
    x = 118,955,743.71/12,566.53
  6. Step 6: Final answer
    x = 9,466.08

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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.