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Finding the Fourth Proportional to 29,541.49, 44,302.66 and 9,814.75

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Solution

The fourth proportional to 29,541.49, 44,302.66 and 9,814.75 is: 14,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541.49 : 44,302.66 = 9,814.75 : x
  2. Step 2: Convert to fraction form
    29,541.49/44,302.66 = 9,814.75/x
  3. Step 3: Cross multiply
    29,541.49x = 44,302.66 × 9,814.75
  4. Step 4: Simplify right side
    29,541.49x = 434,819,532.24
  5. Step 5: Solve for x
    x = 434,819,532.24/29,541.49
  6. Step 6: Final answer
    x = 14,718.94

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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.