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Finding the Fourth Proportional to 24,477.04, 33,754.80 and 15,526

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Solution

The fourth proportional to 24,477.04, 33,754.80 and 15,526 is: 21,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.04 : 33,754.80 = 15,526 : x
  2. Step 2: Convert to fraction form
    24,477.04/33,754.80 = 15,526/x
  3. Step 3: Cross multiply
    24,477.04x = 33,754.80 × 15,526
  4. Step 4: Simplify right side
    24,477.04x = 524,077,024.80
  5. Step 5: Solve for x
    x = 524,077,024.80/24,477.04
  6. Step 6: Final answer
    x = 21,410.96

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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.