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Finding the Fourth Proportional to 14,298.97, 19,725.94 and 9,264.91

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Solution

The fourth proportional to 14,298.97, 19,725.94 and 9,264.91 is: 12,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.97 : 19,725.94 = 9,264.91 : x
  2. Step 2: Convert to fraction form
    14,298.97/19,725.94 = 9,264.91/x
  3. Step 3: Cross multiply
    14,298.97x = 19,725.94 × 9,264.91
  4. Step 4: Simplify right side
    14,298.97x = 182,759,058.77
  5. Step 5: Solve for x
    x = 182,759,058.77/14,298.97
  6. Step 6: Final answer
    x = 12,781.27

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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.