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Finding the Fourth Proportional to 12,953.10, 19,429.64 and 9,262.53

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Solution

The fourth proportional to 12,953.10, 19,429.64 and 9,262.53 is: 13,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.10 : 19,429.64 = 9,262.53 : x
  2. Step 2: Convert to fraction form
    12,953.10/19,429.64 = 9,262.53/x
  3. Step 3: Cross multiply
    12,953.10x = 19,429.64 × 9,262.53
  4. Step 4: Simplify right side
    12,953.10x = 179,967,577.08
  5. Step 5: Solve for x
    x = 179,967,577.08/12,953.10
  6. Step 6: Final answer
    x = 13,893.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.