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Finding the Fourth Proportional to 19,606.31, 29,409.47 and 7,124.01

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Solution

The fourth proportional to 19,606.31, 29,409.47 and 7,124.01 is: 10,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,606.31 : 29,409.47 = 7,124.01 : x
  2. Step 2: Convert to fraction form
    19,606.31/29,409.47 = 7,124.01/x
  3. Step 3: Cross multiply
    19,606.31x = 29,409.47 × 7,124.01
  4. Step 4: Simplify right side
    19,606.31x = 209,513,358.37
  5. Step 5: Solve for x
    x = 209,513,358.37/19,606.31
  6. Step 6: Final answer
    x = 10,686.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.