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Finding the Fourth Proportional to 14,506.56, 20,012.25 and 10,036.53

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Solution

The fourth proportional to 14,506.56, 20,012.25 and 10,036.53 is: 13,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.56 : 20,012.25 = 10,036.53 : x
  2. Step 2: Convert to fraction form
    14,506.56/20,012.25 = 10,036.53/x
  3. Step 3: Cross multiply
    14,506.56x = 20,012.25 × 10,036.53
  4. Step 4: Simplify right side
    14,506.56x = 200,853,547.49
  5. Step 5: Solve for x
    x = 200,853,547.49/14,506.56
  6. Step 6: Final answer
    x = 13,845.70

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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.