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Finding the Fourth Proportional to 19,870.72, 29,802.89 and 5,078.85

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Solution

The fourth proportional to 19,870.72, 29,802.89 and 5,078.85 is: 7,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.72 : 29,802.89 = 5,078.85 : x
  2. Step 2: Convert to fraction form
    19,870.72/29,802.89 = 5,078.85/x
  3. Step 3: Cross multiply
    19,870.72x = 29,802.89 × 5,078.85
  4. Step 4: Simplify right side
    19,870.72x = 151,364,447.89
  5. Step 5: Solve for x
    x = 151,364,447.89/19,870.72
  6. Step 6: Final answer
    x = 7,617.46

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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.