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Finding the Fourth Proportional to 10,820.03, 14,898.34 and 9,223.10

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Solution

The fourth proportional to 10,820.03, 14,898.34 and 9,223.10 is: 12,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.03 : 14,898.34 = 9,223.10 : x
  2. Step 2: Convert to fraction form
    10,820.03/14,898.34 = 9,223.10/x
  3. Step 3: Cross multiply
    10,820.03x = 14,898.34 × 9,223.10
  4. Step 4: Simplify right side
    10,820.03x = 137,408,795.74
  5. Step 5: Solve for x
    x = 137,408,795.74/10,820.03
  6. Step 6: Final answer
    x = 12,699.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.