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Finding the Fourth Proportional to 17,973, 24,802.74 and 10,521

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Solution

The fourth proportional to 17,973, 24,802.74 and 10,521 is: 14,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973 : 24,802.74 = 10,521 : x
  2. Step 2: Convert to fraction form
    17,973/24,802.74 = 10,521/x
  3. Step 3: Cross multiply
    17,973x = 24,802.74 × 10,521
  4. Step 4: Simplify right side
    17,973x = 260,949,627.54
  5. Step 5: Solve for x
    x = 260,949,627.54/17,973
  6. Step 6: Final answer
    x = 14,518.98

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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.