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Finding the Fourth Proportional to 14,404.86, 19,873.35 and 9,681.66

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Solution

The fourth proportional to 14,404.86, 19,873.35 and 9,681.66 is: 13,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.86 : 19,873.35 = 9,681.66 : x
  2. Step 2: Convert to fraction form
    14,404.86/19,873.35 = 9,681.66/x
  3. Step 3: Cross multiply
    14,404.86x = 19,873.35 × 9,681.66
  4. Step 4: Simplify right side
    14,404.86x = 192,407,017.76
  5. Step 5: Solve for x
    x = 192,407,017.76/14,404.86
  6. Step 6: Final answer
    x = 13,357.09

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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.