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Finding the Fourth Proportional to 14,259.86, 21,382.16 and 4,768

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Solution

The fourth proportional to 14,259.86, 21,382.16 and 4,768 is: 7,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.86 : 21,382.16 = 4,768 : x
  2. Step 2: Convert to fraction form
    14,259.86/21,382.16 = 4,768/x
  3. Step 3: Cross multiply
    14,259.86x = 21,382.16 × 4,768
  4. Step 4: Simplify right side
    14,259.86x = 101,950,138.88
  5. Step 5: Solve for x
    x = 101,950,138.88/14,259.86
  6. Step 6: Final answer
    x = 7,149.45

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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.