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Finding the Fourth Proportional to 14,417.46, 19,895.01 and 9,391.31

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Solution

The fourth proportional to 14,417.46, 19,895.01 and 9,391.31 is: 12,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.46 : 19,895.01 = 9,391.31 : x
  2. Step 2: Convert to fraction form
    14,417.46/19,895.01 = 9,391.31/x
  3. Step 3: Cross multiply
    14,417.46x = 19,895.01 × 9,391.31
  4. Step 4: Simplify right side
    14,417.46x = 186,840,106.89
  5. Step 5: Solve for x
    x = 186,840,106.89/14,417.46
  6. Step 6: Final answer
    x = 12,959.29

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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.