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Finding the Fourth Proportional to 19,877.95, 29,802.60 and 10,024.18

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Solution

The fourth proportional to 19,877.95, 29,802.60 and 10,024.18 is: 15,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.95 : 29,802.60 = 10,024.18 : x
  2. Step 2: Convert to fraction form
    19,877.95/29,802.60 = 10,024.18/x
  3. Step 3: Cross multiply
    19,877.95x = 29,802.60 × 10,024.18
  4. Step 4: Simplify right side
    19,877.95x = 298,746,626.87
  5. Step 5: Solve for x
    x = 298,746,626.87/19,877.95
  6. Step 6: Final answer
    x = 15,029.05

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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.