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Finding the Fourth Proportional to 14,135.63, 19,507.77 and 7,848

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Solution

The fourth proportional to 14,135.63, 19,507.77 and 7,848 is: 10,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.63 : 19,507.77 = 7,848 : x
  2. Step 2: Convert to fraction form
    14,135.63/19,507.77 = 7,848/x
  3. Step 3: Cross multiply
    14,135.63x = 19,507.77 × 7,848
  4. Step 4: Simplify right side
    14,135.63x = 153,096,978.96
  5. Step 5: Solve for x
    x = 153,096,978.96/14,135.63
  6. Step 6: Final answer
    x = 10,830.58

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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.