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Finding the Fourth Proportional to 14,196, 21,294.36 and 4,962

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Solution

The fourth proportional to 14,196, 21,294.36 and 4,962 is: 7,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196 : 21,294.36 = 4,962 : x
  2. Step 2: Convert to fraction form
    14,196/21,294.36 = 4,962/x
  3. Step 3: Cross multiply
    14,196x = 21,294.36 × 4,962
  4. Step 4: Simplify right side
    14,196x = 105,662,614.32
  5. Step 5: Solve for x
    x = 105,662,614.32/14,196
  6. Step 6: Final answer
    x = 7,443.13

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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.