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Finding the Fourth Proportional to 14,309.61, 19,738.67 and 10,339.53

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Solution

The fourth proportional to 14,309.61, 19,738.67 and 10,339.53 is: 14,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.61 : 19,738.67 = 10,339.53 : x
  2. Step 2: Convert to fraction form
    14,309.61/19,738.67 = 10,339.53/x
  3. Step 3: Cross multiply
    14,309.61x = 19,738.67 × 10,339.53
  4. Step 4: Simplify right side
    14,309.61x = 204,088,518.93
  5. Step 5: Solve for x
    x = 204,088,518.93/14,309.61
  6. Step 6: Final answer
    x = 14,262.34

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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.