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Finding the Fourth Proportional to 14,407.46, 21,606.17 and 5,047.26

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Solution

The fourth proportional to 14,407.46, 21,606.17 and 5,047.26 is: 7,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.46 : 21,606.17 = 5,047.26 : x
  2. Step 2: Convert to fraction form
    14,407.46/21,606.17 = 5,047.26/x
  3. Step 3: Cross multiply
    14,407.46x = 21,606.17 × 5,047.26
  4. Step 4: Simplify right side
    14,407.46x = 109,051,932.36
  5. Step 5: Solve for x
    x = 109,051,932.36/14,407.46
  6. Step 6: Final answer
    x = 7,569.13

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