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Finding the Fourth Proportional to 14,017.83, 19,345.08 and 7,644.77

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Solution

The fourth proportional to 14,017.83, 19,345.08 and 7,644.77 is: 10,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.83 : 19,345.08 = 7,644.77 : x
  2. Step 2: Convert to fraction form
    14,017.83/19,345.08 = 7,644.77/x
  3. Step 3: Cross multiply
    14,017.83x = 19,345.08 × 7,644.77
  4. Step 4: Simplify right side
    14,017.83x = 147,888,701.14
  5. Step 5: Solve for x
    x = 147,888,701.14/14,017.83
  6. Step 6: Final answer
    x = 10,550.04

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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.