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Finding the Fourth Proportional to 15,784.70, 23,681.02 and 4,540.06

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Solution

The fourth proportional to 15,784.70, 23,681.02 and 4,540.06 is: 6,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.70 : 23,681.02 = 4,540.06 : x
  2. Step 2: Convert to fraction form
    15,784.70/23,681.02 = 4,540.06/x
  3. Step 3: Cross multiply
    15,784.70x = 23,681.02 × 4,540.06
  4. Step 4: Simplify right side
    15,784.70x = 107,513,251.66
  5. Step 5: Solve for x
    x = 107,513,251.66/15,784.70
  6. Step 6: Final answer
    x = 6,811.23

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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.