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Finding the Fourth Proportional to 22,970.16, 34,455.45 and 6,331.14

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Solution

The fourth proportional to 22,970.16, 34,455.45 and 6,331.14 is: 9,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.16 : 34,455.45 = 6,331.14 : x
  2. Step 2: Convert to fraction form
    22,970.16/34,455.45 = 6,331.14/x
  3. Step 3: Cross multiply
    22,970.16x = 34,455.45 × 6,331.14
  4. Step 4: Simplify right side
    22,970.16x = 218,142,277.71
  5. Step 5: Solve for x
    x = 218,142,277.71/22,970.16
  6. Step 6: Final answer
    x = 9,496.77

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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.