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Finding the Fourth Proportional to 14,486.96, 21,740.16 and 5,127

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Solution

The fourth proportional to 14,486.96, 21,740.16 and 5,127 is: 7,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.96 : 21,740.16 = 5,127 : x
  2. Step 2: Convert to fraction form
    14,486.96/21,740.16 = 5,127/x
  3. Step 3: Cross multiply
    14,486.96x = 21,740.16 × 5,127
  4. Step 4: Simplify right side
    14,486.96x = 111,461,800.32
  5. Step 5: Solve for x
    x = 111,461,800.32/14,486.96
  6. Step 6: Final answer
    x = 7,693.94

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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.