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Finding the Fourth Proportional to 14,159.80, 21,225.30 and 8,313.40

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Solution

The fourth proportional to 14,159.80, 21,225.30 and 8,313.40 is: 12,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.80 : 21,225.30 = 8,313.40 : x
  2. Step 2: Convert to fraction form
    14,159.80/21,225.30 = 8,313.40/x
  3. Step 3: Cross multiply
    14,159.80x = 21,225.30 × 8,313.40
  4. Step 4: Simplify right side
    14,159.80x = 176,454,409.02
  5. Step 5: Solve for x
    x = 176,454,409.02/14,159.80
  6. Step 6: Final answer
    x = 12,461.65

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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.