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Finding the Fourth Proportional to 13,802.10, 20,703.15 and 9,573.90

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Solution

The fourth proportional to 13,802.10, 20,703.15 and 9,573.90 is: 14,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.10 : 20,703.15 = 9,573.90 : x
  2. Step 2: Convert to fraction form
    13,802.10/20,703.15 = 9,573.90/x
  3. Step 3: Cross multiply
    13,802.10x = 20,703.15 × 9,573.90
  4. Step 4: Simplify right side
    13,802.10x = 198,209,887.79
  5. Step 5: Solve for x
    x = 198,209,887.79/13,802.10
  6. Step 6: Final answer
    x = 14,360.85

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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.