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Finding the Fourth Proportional to 14,218.65, 21,284.22 and 9,277.65

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Solution

The fourth proportional to 14,218.65, 21,284.22 and 9,277.65 is: 13,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,218.65 : 21,284.22 = 9,277.65 : x
  2. Step 2: Convert to fraction form
    14,218.65/21,284.22 = 9,277.65/x
  3. Step 3: Cross multiply
    14,218.65x = 21,284.22 × 9,277.65
  4. Step 4: Simplify right side
    14,218.65x = 197,467,437.26
  5. Step 5: Solve for x
    x = 197,467,437.26/14,218.65
  6. Step 6: Final answer
    x = 13,887.92

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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.