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Finding the Fourth Proportional to 24,870.84, 34,313.10 and 14,114.44

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Solution

The fourth proportional to 24,870.84, 34,313.10 and 14,114.44 is: 19,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.84 : 34,313.10 = 14,114.44 : x
  2. Step 2: Convert to fraction form
    24,870.84/34,313.10 = 14,114.44/x
  3. Step 3: Cross multiply
    24,870.84x = 34,313.10 × 14,114.44
  4. Step 4: Simplify right side
    24,870.84x = 484,310,191.16
  5. Step 5: Solve for x
    x = 484,310,191.16/24,870.84
  6. Step 6: Final answer
    x = 19,473.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.