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Finding the Fourth Proportional to 19,830.87, 29,746.03 and 4,838.06

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Solution

The fourth proportional to 19,830.87, 29,746.03 and 4,838.06 is: 7,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.87 : 29,746.03 = 4,838.06 : x
  2. Step 2: Convert to fraction form
    19,830.87/29,746.03 = 4,838.06/x
  3. Step 3: Cross multiply
    19,830.87x = 29,746.03 × 4,838.06
  4. Step 4: Simplify right side
    19,830.87x = 143,913,077.90
  5. Step 5: Solve for x
    x = 143,913,077.90/19,830.87
  6. Step 6: Final answer
    x = 7,257.02

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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.