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Finding the Fourth Proportional to 14,642.30, 21,975.69 and 13,264.49

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Solution

The fourth proportional to 14,642.30, 21,975.69 and 13,264.49 is: 19,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.30 : 21,975.69 = 13,264.49 : x
  2. Step 2: Convert to fraction form
    14,642.30/21,975.69 = 13,264.49/x
  3. Step 3: Cross multiply
    14,642.30x = 21,975.69 × 13,264.49
  4. Step 4: Simplify right side
    14,642.30x = 291,496,320.25
  5. Step 5: Solve for x
    x = 291,496,320.25/14,642.30
  6. Step 6: Final answer
    x = 19,907.82

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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.