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Finding the Fourth Proportional to 14,264.75, 19,678.72 and 9,230.59

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Solution

The fourth proportional to 14,264.75, 19,678.72 and 9,230.59 is: 12,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.75 : 19,678.72 = 9,230.59 : x
  2. Step 2: Convert to fraction form
    14,264.75/19,678.72 = 9,230.59/x
  3. Step 3: Cross multiply
    14,264.75x = 19,678.72 × 9,230.59
  4. Step 4: Simplify right side
    14,264.75x = 181,646,196.04
  5. Step 5: Solve for x
    x = 181,646,196.04/14,264.75
  6. Step 6: Final answer
    x = 12,733.92

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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.