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Finding the Fourth Proportional to 24,678.56, 34,056.12 and 14,068.16

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Solution

The fourth proportional to 24,678.56, 34,056.12 and 14,068.16 is: 19,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.56 : 34,056.12 = 14,068.16 : x
  2. Step 2: Convert to fraction form
    24,678.56/34,056.12 = 14,068.16/x
  3. Step 3: Cross multiply
    24,678.56x = 34,056.12 × 14,068.16
  4. Step 4: Simplify right side
    24,678.56x = 479,106,945.14
  5. Step 5: Solve for x
    x = 479,106,945.14/24,678.56
  6. Step 6: Final answer
    x = 19,413.89

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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.