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Finding the Fourth Proportional to 10,019.96, 13,812.88 and 7,026.76

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Solution

The fourth proportional to 10,019.96, 13,812.88 and 7,026.76 is: 9,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.96 : 13,812.88 = 7,026.76 : x
  2. Step 2: Convert to fraction form
    10,019.96/13,812.88 = 7,026.76/x
  3. Step 3: Cross multiply
    10,019.96x = 13,812.88 × 7,026.76
  4. Step 4: Simplify right side
    10,019.96x = 97,059,792.67
  5. Step 5: Solve for x
    x = 97,059,792.67/10,019.96
  6. Step 6: Final answer
    x = 9,686.64

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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.