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Finding the Fourth Proportional to 18,427.34, 25,429.82 and 10,470

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Solution

The fourth proportional to 18,427.34, 25,429.82 and 10,470 is: 14,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427.34 : 25,429.82 = 10,470 : x
  2. Step 2: Convert to fraction form
    18,427.34/25,429.82 = 10,470/x
  3. Step 3: Cross multiply
    18,427.34x = 25,429.82 × 10,470
  4. Step 4: Simplify right side
    18,427.34x = 266,250,215.40
  5. Step 5: Solve for x
    x = 266,250,215.40/18,427.34
  6. Step 6: Final answer
    x = 14,448.65

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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.