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Finding the Fourth Proportional to 14,110.96, 19,473.50 and 7,978.18

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Solution

The fourth proportional to 14,110.96, 19,473.50 and 7,978.18 is: 11,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.96 : 19,473.50 = 7,978.18 : x
  2. Step 2: Convert to fraction form
    14,110.96/19,473.50 = 7,978.18/x
  3. Step 3: Cross multiply
    14,110.96x = 19,473.50 × 7,978.18
  4. Step 4: Simplify right side
    14,110.96x = 155,363,088.23
  5. Step 5: Solve for x
    x = 155,363,088.23/14,110.96
  6. Step 6: Final answer
    x = 11,010.10

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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.