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Finding the Fourth Proportional to 10,430.66, 15,552.94 and 9,271.55

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Solution

The fourth proportional to 10,430.66, 15,552.94 and 9,271.55 is: 13,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.66 : 15,552.94 = 9,271.55 : x
  2. Step 2: Convert to fraction form
    10,430.66/15,552.94 = 9,271.55/x
  3. Step 3: Cross multiply
    10,430.66x = 15,552.94 × 9,271.55
  4. Step 4: Simplify right side
    10,430.66x = 144,199,736.73
  5. Step 5: Solve for x
    x = 144,199,736.73/10,430.66
  6. Step 6: Final answer
    x = 13,824.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.