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Finding the Fourth Proportional to 12,920.16, 19,382.51 and 4,599.98

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Solution

The fourth proportional to 12,920.16, 19,382.51 and 4,599.98 is: 6,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.16 : 19,382.51 = 4,599.98 : x
  2. Step 2: Convert to fraction form
    12,920.16/19,382.51 = 4,599.98/x
  3. Step 3: Cross multiply
    12,920.16x = 19,382.51 × 4,599.98
  4. Step 4: Simplify right side
    12,920.16x = 89,159,158.35
  5. Step 5: Solve for x
    x = 89,159,158.35/12,920.16
  6. Step 6: Final answer
    x = 6,900.78

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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.