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Finding the Fourth Proportional to 19,509.24, 26,901.84 and 15,728.40

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Solution

The fourth proportional to 19,509.24, 26,901.84 and 15,728.40 is: 21,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.24 : 26,901.84 = 15,728.40 : x
  2. Step 2: Convert to fraction form
    19,509.24/26,901.84 = 15,728.40/x
  3. Step 3: Cross multiply
    19,509.24x = 26,901.84 × 15,728.40
  4. Step 4: Simplify right side
    19,509.24x = 423,122,900.26
  5. Step 5: Solve for x
    x = 423,122,900.26/19,509.24
  6. Step 6: Final answer
    x = 21,688.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.