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Finding the Fourth Proportional to 15,711.84, 23,501.85 and 14,530.86

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Solution

The fourth proportional to 15,711.84, 23,501.85 and 14,530.86 is: 21,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.84 : 23,501.85 = 14,530.86 : x
  2. Step 2: Convert to fraction form
    15,711.84/23,501.85 = 14,530.86/x
  3. Step 3: Cross multiply
    15,711.84x = 23,501.85 × 14,530.86
  4. Step 4: Simplify right side
    15,711.84x = 341,502,092.09
  5. Step 5: Solve for x
    x = 341,502,092.09/15,711.84
  6. Step 6: Final answer
    x = 21,735.33

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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.