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Finding the Fourth Proportional to 16,349.72, 22,519.64 and 12,565.65

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Solution

The fourth proportional to 16,349.72, 22,519.64 and 12,565.65 is: 17,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.72 : 22,519.64 = 12,565.65 : x
  2. Step 2: Convert to fraction form
    16,349.72/22,519.64 = 12,565.65/x
  3. Step 3: Cross multiply
    16,349.72x = 22,519.64 × 12,565.65
  4. Step 4: Simplify right side
    16,349.72x = 282,973,832.87
  5. Step 5: Solve for x
    x = 282,973,832.87/16,349.72
  6. Step 6: Final answer
    x = 17,307.57

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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.