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Finding the Fourth Proportional to 29,541.74, 44,303.04 and 9,815

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Solution

The fourth proportional to 29,541.74, 44,303.04 and 9,815 is: 14,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541.74 : 44,303.04 = 9,815 : x
  2. Step 2: Convert to fraction form
    29,541.74/44,303.04 = 9,815/x
  3. Step 3: Cross multiply
    29,541.74x = 44,303.04 × 9,815
  4. Step 4: Simplify right side
    29,541.74x = 434,834,337.60
  5. Step 5: Solve for x
    x = 434,834,337.60/29,541.74
  6. Step 6: Final answer
    x = 14,719.32

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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.