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Finding the Fourth Proportional to 15,292.86, 21,105 and 11,509.22

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Solution

The fourth proportional to 15,292.86, 21,105 and 11,509.22 is: 15,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,292.86 : 21,105 = 11,509.22 : x
  2. Step 2: Convert to fraction form
    15,292.86/21,105 = 11,509.22/x
  3. Step 3: Cross multiply
    15,292.86x = 21,105 × 11,509.22
  4. Step 4: Simplify right side
    15,292.86x = 242,902,088.10
  5. Step 5: Solve for x
    x = 242,902,088.10/15,292.86
  6. Step 6: Final answer
    x = 15,883.37

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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.