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Finding the Fourth Proportional to 14,368.84, 19,826.72 and 8,080.00

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Solution

The fourth proportional to 14,368.84, 19,826.72 and 8,080.00 is: 11,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.84 : 19,826.72 = 8,080.00 : x
  2. Step 2: Convert to fraction form
    14,368.84/19,826.72 = 8,080.00/x
  3. Step 3: Cross multiply
    14,368.84x = 19,826.72 × 8,080.00
  4. Step 4: Simplify right side
    14,368.84x = 160,199,948.89
  5. Step 5: Solve for x
    x = 160,199,948.89/14,368.84
  6. Step 6: Final answer
    x = 11,149.12

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Why These Related Problems?

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