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Finding the Fourth Proportional to 14,400.83, 19,870.72 and 8,026.02

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Solution

The fourth proportional to 14,400.83, 19,870.72 and 8,026.02 is: 11,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.83 : 19,870.72 = 8,026.02 : x
  2. Step 2: Convert to fraction form
    14,400.83/19,870.72 = 8,026.02/x
  3. Step 3: Cross multiply
    14,400.83x = 19,870.72 × 8,026.02
  4. Step 4: Simplify right side
    14,400.83x = 159,482,796.13
  5. Step 5: Solve for x
    x = 159,482,796.13/14,400.83
  6. Step 6: Final answer
    x = 11,074.56

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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.