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Finding the Fourth Proportional to 14,294.16, 19,726.14 and 8,006.58

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Solution

The fourth proportional to 14,294.16, 19,726.14 and 8,006.58 is: 11,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.16 : 19,726.14 = 8,006.58 : x
  2. Step 2: Convert to fraction form
    14,294.16/19,726.14 = 8,006.58/x
  3. Step 3: Cross multiply
    14,294.16x = 19,726.14 × 8,006.58
  4. Step 4: Simplify right side
    14,294.16x = 157,938,918.00
  5. Step 5: Solve for x
    x = 157,938,918.00/14,294.16
  6. Step 6: Final answer
    x = 11,049.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.