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Finding the Fourth Proportional to 19,531.86, 29,303.28 and 7,853.28

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Solution

The fourth proportional to 19,531.86, 29,303.28 and 7,853.28 is: 11,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,531.86 : 29,303.28 = 7,853.28 : x
  2. Step 2: Convert to fraction form
    19,531.86/29,303.28 = 7,853.28/x
  3. Step 3: Cross multiply
    19,531.86x = 29,303.28 × 7,853.28
  4. Step 4: Simplify right side
    19,531.86x = 230,126,862.76
  5. Step 5: Solve for x
    x = 230,126,862.76/19,531.86
  6. Step 6: Final answer
    x = 11,782.13

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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.