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Finding the Fourth Proportional to 14,565.83, 20,097.43 and 10,580.02

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Solution

The fourth proportional to 14,565.83, 20,097.43 and 10,580.02 is: 14,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.83 : 20,097.43 = 10,580.02 : x
  2. Step 2: Convert to fraction form
    14,565.83/20,097.43 = 10,580.02/x
  3. Step 3: Cross multiply
    14,565.83x = 20,097.43 × 10,580.02
  4. Step 4: Simplify right side
    14,565.83x = 212,631,134.65
  5. Step 5: Solve for x
    x = 212,631,134.65/14,565.83
  6. Step 6: Final answer
    x = 14,597.95

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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.