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Finding the Fourth Proportional to 22,509.36, 31,033.80 and 15,423.12

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Solution

The fourth proportional to 22,509.36, 31,033.80 and 15,423.12 is: 21,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.36 : 31,033.80 = 15,423.12 : x
  2. Step 2: Convert to fraction form
    22,509.36/31,033.80 = 15,423.12/x
  3. Step 3: Cross multiply
    22,509.36x = 31,033.80 × 15,423.12
  4. Step 4: Simplify right side
    22,509.36x = 478,638,021.46
  5. Step 5: Solve for x
    x = 478,638,021.46/22,509.36
  6. Step 6: Final answer
    x = 21,263.96

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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.