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Finding the Fourth Proportional to 21,235.96, 31,854.02 and 6,445

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Solution

The fourth proportional to 21,235.96, 31,854.02 and 6,445 is: 9,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.96 : 31,854.02 = 6,445 : x
  2. Step 2: Convert to fraction form
    21,235.96/31,854.02 = 6,445/x
  3. Step 3: Cross multiply
    21,235.96x = 31,854.02 × 6,445
  4. Step 4: Simplify right side
    21,235.96x = 205,299,158.90
  5. Step 5: Solve for x
    x = 205,299,158.90/21,235.96
  6. Step 6: Final answer
    x = 9,667.52

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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.