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Finding the Fourth Proportional to 22,652.48, 33,980.40 and 7,070

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Solution

The fourth proportional to 22,652.48, 33,980.40 and 7,070 is: 10,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.48 : 33,980.40 = 7,070 : x
  2. Step 2: Convert to fraction form
    22,652.48/33,980.40 = 7,070/x
  3. Step 3: Cross multiply
    22,652.48x = 33,980.40 × 7,070
  4. Step 4: Simplify right side
    22,652.48x = 240,241,428
  5. Step 5: Solve for x
    x = 240,241,428/22,652.48
  6. Step 6: Final answer
    x = 10,605.52

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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.