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Finding the Fourth Proportional to 14,357.36, 21,545.76 and 7,785.68

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Solution

The fourth proportional to 14,357.36, 21,545.76 and 7,785.68 is: 11,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.36 : 21,545.76 = 7,785.68 : x
  2. Step 2: Convert to fraction form
    14,357.36/21,545.76 = 7,785.68/x
  3. Step 3: Cross multiply
    14,357.36x = 21,545.76 × 7,785.68
  4. Step 4: Simplify right side
    14,357.36x = 167,748,392.72
  5. Step 5: Solve for x
    x = 167,748,392.72/14,357.36
  6. Step 6: Final answer
    x = 11,683.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.