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Finding the Fourth Proportional to 15,578.46, 21,498.30 and 9,989.46

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Solution

The fourth proportional to 15,578.46, 21,498.30 and 9,989.46 is: 13,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.46 : 21,498.30 = 9,989.46 : x
  2. Step 2: Convert to fraction form
    15,578.46/21,498.30 = 9,989.46/x
  3. Step 3: Cross multiply
    15,578.46x = 21,498.30 × 9,989.46
  4. Step 4: Simplify right side
    15,578.46x = 214,756,407.92
  5. Step 5: Solve for x
    x = 214,756,407.92/15,578.46
  6. Step 6: Final answer
    x = 13,785.47

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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.