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Finding the Fourth Proportional to 14,728.76, 22,096.55 and 7,712.58

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Solution

The fourth proportional to 14,728.76, 22,096.55 and 7,712.58 is: 11,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.76 : 22,096.55 = 7,712.58 : x
  2. Step 2: Convert to fraction form
    14,728.76/22,096.55 = 7,712.58/x
  3. Step 3: Cross multiply
    14,728.76x = 22,096.55 × 7,712.58
  4. Step 4: Simplify right side
    14,728.76x = 170,421,409.60
  5. Step 5: Solve for x
    x = 170,421,409.60/14,728.76
  6. Step 6: Final answer
    x = 11,570.66

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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.