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Finding the Fourth Proportional to 13,053.66, 19,582.29 and 4,289.46

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Solution

The fourth proportional to 13,053.66, 19,582.29 and 4,289.46 is: 6,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.66 : 19,582.29 = 4,289.46 : x
  2. Step 2: Convert to fraction form
    13,053.66/19,582.29 = 4,289.46/x
  3. Step 3: Cross multiply
    13,053.66x = 19,582.29 × 4,289.46
  4. Step 4: Simplify right side
    13,053.66x = 83,997,449.66
  5. Step 5: Solve for x
    x = 83,997,449.66/13,053.66
  6. Step 6: Final answer
    x = 6,434.78

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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.