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Finding the Fourth Proportional to 15,426.78, 21,291.06 and 9,457.38

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Solution

The fourth proportional to 15,426.78, 21,291.06 and 9,457.38 is: 13,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,426.78 : 21,291.06 = 9,457.38 : x
  2. Step 2: Convert to fraction form
    15,426.78/21,291.06 = 9,457.38/x
  3. Step 3: Cross multiply
    15,426.78x = 21,291.06 × 9,457.38
  4. Step 4: Simplify right side
    15,426.78x = 201,357,645.02
  5. Step 5: Solve for x
    x = 201,357,645.02/15,426.78
  6. Step 6: Final answer
    x = 13,052.47

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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.