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Finding the Fourth Proportional to 15,640.19, 21,602.40 and 11,384.50

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Solution

The fourth proportional to 15,640.19, 21,602.40 and 11,384.50 is: 15,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.19 : 21,602.40 = 11,384.50 : x
  2. Step 2: Convert to fraction form
    15,640.19/21,602.40 = 11,384.50/x
  3. Step 3: Cross multiply
    15,640.19x = 21,602.40 × 11,384.50
  4. Step 4: Simplify right side
    15,640.19x = 245,932,466.61
  5. Step 5: Solve for x
    x = 245,932,466.61/15,640.19
  6. Step 6: Final answer
    x = 15,724.39

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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.