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Finding the Fourth Proportional to 10,585.35, 14,705.82 and 10,489.01

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Solution

The fourth proportional to 10,585.35, 14,705.82 and 10,489.01 is: 14,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.35 : 14,705.82 = 10,489.01 : x
  2. Step 2: Convert to fraction form
    10,585.35/14,705.82 = 10,489.01/x
  3. Step 3: Cross multiply
    10,585.35x = 14,705.82 × 10,489.01
  4. Step 4: Simplify right side
    10,585.35x = 154,249,419.51
  5. Step 5: Solve for x
    x = 154,249,419.51/10,585.35
  6. Step 6: Final answer
    x = 14,571.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.