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Finding the Fourth Proportional to 15,594.66, 23,392.80 and 7,800.84

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Solution

The fourth proportional to 15,594.66, 23,392.80 and 7,800.84 is: 11,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,594.66 : 23,392.80 = 7,800.84 : x
  2. Step 2: Convert to fraction form
    15,594.66/23,392.80 = 7,800.84/x
  3. Step 3: Cross multiply
    15,594.66x = 23,392.80 × 7,800.84
  4. Step 4: Simplify right side
    15,594.66x = 182,483,489.95
  5. Step 5: Solve for x
    x = 182,483,489.95/15,594.66
  6. Step 6: Final answer
    x = 11,701.67

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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.