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Finding the Fourth Proportional to 24,945, 37,376.80 and 11,603.50

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Solution

The fourth proportional to 24,945, 37,376.80 and 11,603.50 is: 17,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,945 : 37,376.80 = 11,603.50 : x
  2. Step 2: Convert to fraction form
    24,945/37,376.80 = 11,603.50/x
  3. Step 3: Cross multiply
    24,945x = 37,376.80 × 11,603.50
  4. Step 4: Simplify right side
    24,945x = 433,701,698.80
  5. Step 5: Solve for x
    x = 433,701,698.80/24,945
  6. Step 6: Final answer
    x = 17,386.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.