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Finding the Fourth Proportional to 13,785.95, 19,024.49 and 7,498.33

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Solution

The fourth proportional to 13,785.95, 19,024.49 and 7,498.33 is: 10,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.95 : 19,024.49 = 7,498.33 : x
  2. Step 2: Convert to fraction form
    13,785.95/19,024.49 = 7,498.33/x
  3. Step 3: Cross multiply
    13,785.95x = 19,024.49 × 7,498.33
  4. Step 4: Simplify right side
    13,785.95x = 142,651,875.29
  5. Step 5: Solve for x
    x = 142,651,875.29/13,785.95
  6. Step 6: Final answer
    x = 10,347.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.