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Finding the Fourth Proportional to 15,707.94, 23,561.85 and 4,021.14

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Solution

The fourth proportional to 15,707.94, 23,561.85 and 4,021.14 is: 6,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.94 : 23,561.85 = 4,021.14 : x
  2. Step 2: Convert to fraction form
    15,707.94/23,561.85 = 4,021.14/x
  3. Step 3: Cross multiply
    15,707.94x = 23,561.85 × 4,021.14
  4. Step 4: Simplify right side
    15,707.94x = 94,745,497.51
  5. Step 5: Solve for x
    x = 94,745,497.51/15,707.94
  6. Step 6: Final answer
    x = 6,031.69

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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.