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Finding the Fourth Proportional to 24,594.49, 33,942 and 13,985.11

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Solution

The fourth proportional to 24,594.49, 33,942 and 13,985.11 is: 19,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.49 : 33,942 = 13,985.11 : x
  2. Step 2: Convert to fraction form
    24,594.49/33,942 = 13,985.11/x
  3. Step 3: Cross multiply
    24,594.49x = 33,942 × 13,985.11
  4. Step 4: Simplify right side
    24,594.49x = 474,682,603.62
  5. Step 5: Solve for x
    x = 474,682,603.62/24,594.49
  6. Step 6: Final answer
    x = 19,300.36

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1.5x scale

Why These Related Problems?

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