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Finding the Fourth Proportional to 19,875.48, 29,813.52 and 5,084.07

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Solution

The fourth proportional to 19,875.48, 29,813.52 and 5,084.07 is: 7,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.48 : 29,813.52 = 5,084.07 : x
  2. Step 2: Convert to fraction form
    19,875.48/29,813.52 = 5,084.07/x
  3. Step 3: Cross multiply
    19,875.48x = 29,813.52 × 5,084.07
  4. Step 4: Simplify right side
    19,875.48x = 151,574,022.63
  5. Step 5: Solve for x
    x = 151,574,022.63/19,875.48
  6. Step 6: Final answer
    x = 7,626.18

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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.