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Finding the Fourth Proportional to 15,586.93, 23,384.50 and 4,494.51

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Solution

The fourth proportional to 15,586.93, 23,384.50 and 4,494.51 is: 6,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.93 : 23,384.50 = 4,494.51 : x
  2. Step 2: Convert to fraction form
    15,586.93/23,384.50 = 4,494.51/x
  3. Step 3: Cross multiply
    15,586.93x = 23,384.50 × 4,494.51
  4. Step 4: Simplify right side
    15,586.93x = 105,101,923.63
  5. Step 5: Solve for x
    x = 105,101,923.63/15,586.93
  6. Step 6: Final answer
    x = 6,742.95

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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.