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Finding the Fourth Proportional to 15,592.66, 23,389.80 and 7,798.84

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Solution

The fourth proportional to 15,592.66, 23,389.80 and 7,798.84 is: 11,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,592.66 : 23,389.80 = 7,798.84 : x
  2. Step 2: Convert to fraction form
    15,592.66/23,389.80 = 7,798.84/x
  3. Step 3: Cross multiply
    15,592.66x = 23,389.80 × 7,798.84
  4. Step 4: Simplify right side
    15,592.66x = 182,413,307.83
  5. Step 5: Solve for x
    x = 182,413,307.83/15,592.66
  6. Step 6: Final answer
    x = 11,698.67

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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.