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Finding the Fourth Proportional to 14,331.87, 21,496.19 and 4,970.16

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Solution

The fourth proportional to 14,331.87, 21,496.19 and 4,970.16 is: 7,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.87 : 21,496.19 = 4,970.16 : x
  2. Step 2: Convert to fraction form
    14,331.87/21,496.19 = 4,970.16/x
  3. Step 3: Cross multiply
    14,331.87x = 21,496.19 × 4,970.16
  4. Step 4: Simplify right side
    14,331.87x = 106,839,478.84
  5. Step 5: Solve for x
    x = 106,839,478.84/14,331.87
  6. Step 6: Final answer
    x = 7,454.68

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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.