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Finding the Fourth Proportional to 14,434.61, 19,904.04 and 9,389.46

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Solution

The fourth proportional to 14,434.61, 19,904.04 and 9,389.46 is: 12,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.61 : 19,904.04 = 9,389.46 : x
  2. Step 2: Convert to fraction form
    14,434.61/19,904.04 = 9,389.46/x
  3. Step 3: Cross multiply
    14,434.61x = 19,904.04 × 9,389.46
  4. Step 4: Simplify right side
    14,434.61x = 186,888,187.42
  5. Step 5: Solve for x
    x = 186,888,187.42/14,434.61
  6. Step 6: Final answer
    x = 12,947.23

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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.