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Finding the Fourth Proportional to 19,970.58, 29,955.87 and 9,441.66

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Solution

The fourth proportional to 19,970.58, 29,955.87 and 9,441.66 is: 14,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.58 : 29,955.87 = 9,441.66 : x
  2. Step 2: Convert to fraction form
    19,970.58/29,955.87 = 9,441.66/x
  3. Step 3: Cross multiply
    19,970.58x = 29,955.87 × 9,441.66
  4. Step 4: Simplify right side
    19,970.58x = 282,833,139.54
  5. Step 5: Solve for x
    x = 282,833,139.54/19,970.58
  6. Step 6: Final answer
    x = 14,162.49

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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.