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Finding the Fourth Proportional to 19,532.36, 29,298.52 and 4,741.14

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Solution

The fourth proportional to 19,532.36, 29,298.52 and 4,741.14 is: 7,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.36 : 29,298.52 = 4,741.14 : x
  2. Step 2: Convert to fraction form
    19,532.36/29,298.52 = 4,741.14/x
  3. Step 3: Cross multiply
    19,532.36x = 29,298.52 × 4,741.14
  4. Step 4: Simplify right side
    19,532.36x = 138,908,385.11
  5. Step 5: Solve for x
    x = 138,908,385.11/19,532.36
  6. Step 6: Final answer
    x = 7,111.71

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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.