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Finding the Fourth Proportional to 14,471.84, 19,952.00 and 10,435.30

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Solution

The fourth proportional to 14,471.84, 19,952.00 and 10,435.30 is: 14,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.84 : 19,952.00 = 10,435.30 : x
  2. Step 2: Convert to fraction form
    14,471.84/19,952.00 = 10,435.30/x
  3. Step 3: Cross multiply
    14,471.84x = 19,952.00 × 10,435.30
  4. Step 4: Simplify right side
    14,471.84x = 208,205,081.81
  5. Step 5: Solve for x
    x = 208,205,081.81/14,471.84
  6. Step 6: Final answer
    x = 14,386.91

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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.