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Finding the Fourth Proportional to 14,206.84, 21,275.88 and 12,114.88

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Solution

The fourth proportional to 14,206.84, 21,275.88 and 12,114.88 is: 18,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.84 : 21,275.88 = 12,114.88 : x
  2. Step 2: Convert to fraction form
    14,206.84/21,275.88 = 12,114.88/x
  3. Step 3: Cross multiply
    14,206.84x = 21,275.88 × 12,114.88
  4. Step 4: Simplify right side
    14,206.84x = 257,754,733.09
  5. Step 5: Solve for x
    x = 257,754,733.09/14,206.84
  6. Step 6: Final answer
    x = 18,143.00

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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.