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Finding the Fourth Proportional to 13,875.90, 20,810.94 and 6,483.84

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Solution

The fourth proportional to 13,875.90, 20,810.94 and 6,483.84 is: 9,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.90 : 20,810.94 = 6,483.84 : x
  2. Step 2: Convert to fraction form
    13,875.90/20,810.94 = 6,483.84/x
  3. Step 3: Cross multiply
    13,875.90x = 20,810.94 × 6,483.84
  4. Step 4: Simplify right side
    13,875.90x = 134,934,805.21
  5. Step 5: Solve for x
    x = 134,934,805.21/13,875.90
  6. Step 6: Final answer
    x = 9,724.40

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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.