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Finding the Fourth Proportional to 29,263.85, 40,384.12 and 15,835.06

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Solution

The fourth proportional to 29,263.85, 40,384.12 and 15,835.06 is: 21,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,263.85 : 40,384.12 = 15,835.06 : x
  2. Step 2: Convert to fraction form
    29,263.85/40,384.12 = 15,835.06/x
  3. Step 3: Cross multiply
    29,263.85x = 40,384.12 × 15,835.06
  4. Step 4: Simplify right side
    29,263.85x = 639,484,963.25
  5. Step 5: Solve for x
    x = 639,484,963.25/29,263.85
  6. Step 6: Final answer
    x = 21,852.39

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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.