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Finding the Fourth Proportional to 12,560.49, 18,840.74 and 4,774.77

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Solution

The fourth proportional to 12,560.49, 18,840.74 and 4,774.77 is: 7,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.49 : 18,840.74 = 4,774.77 : x
  2. Step 2: Convert to fraction form
    12,560.49/18,840.74 = 4,774.77/x
  3. Step 3: Cross multiply
    12,560.49x = 18,840.74 × 4,774.77
  4. Step 4: Simplify right side
    12,560.49x = 89,960,176.26
  5. Step 5: Solve for x
    x = 89,960,176.26/12,560.49
  6. Step 6: Final answer
    x = 7,162.16

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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.