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Finding the Fourth Proportional to 18,506.12, 25,538.82 and 10,123.16

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Solution

The fourth proportional to 18,506.12, 25,538.82 and 10,123.16 is: 13,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.12 : 25,538.82 = 10,123.16 : x
  2. Step 2: Convert to fraction form
    18,506.12/25,538.82 = 10,123.16/x
  3. Step 3: Cross multiply
    18,506.12x = 25,538.82 × 10,123.16
  4. Step 4: Simplify right side
    18,506.12x = 258,533,561.07
  5. Step 5: Solve for x
    x = 258,533,561.07/18,506.12
  6. Step 6: Final answer
    x = 13,970.17

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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.