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Finding the Fourth Proportional to 13,294.19, 18,346 and 7,244.40

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Solution

The fourth proportional to 13,294.19, 18,346 and 7,244.40 is: 9,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.19 : 18,346 = 7,244.40 : x
  2. Step 2: Convert to fraction form
    13,294.19/18,346 = 7,244.40/x
  3. Step 3: Cross multiply
    13,294.19x = 18,346 × 7,244.40
  4. Step 4: Simplify right side
    13,294.19x = 132,905,762.40
  5. Step 5: Solve for x
    x = 132,905,762.40/13,294.19
  6. Step 6: Final answer
    x = 9,997.28

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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.