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Finding the Fourth Proportional to 27,424.16, 37,846.72 and 15,488

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Solution

The fourth proportional to 27,424.16, 37,846.72 and 15,488 is: 21,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.16 : 37,846.72 = 15,488 : x
  2. Step 2: Convert to fraction form
    27,424.16/37,846.72 = 15,488/x
  3. Step 3: Cross multiply
    27,424.16x = 37,846.72 × 15,488
  4. Step 4: Simplify right side
    27,424.16x = 586,169,999.36
  5. Step 5: Solve for x
    x = 586,169,999.36/27,424.16
  6. Step 6: Final answer
    x = 21,374.22

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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.