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Finding the Fourth Proportional to 34,820.31, 52,223.78 and 9,854.33

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Solution

The fourth proportional to 34,820.31, 52,223.78 and 9,854.33 is: 14,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,820.31 : 52,223.78 = 9,854.33 : x
  2. Step 2: Convert to fraction form
    34,820.31/52,223.78 = 9,854.33/x
  3. Step 3: Cross multiply
    34,820.31x = 52,223.78 × 9,854.33
  4. Step 4: Simplify right side
    34,820.31x = 514,630,051.58
  5. Step 5: Solve for x
    x = 514,630,051.58/34,820.31
  6. Step 6: Final answer
    x = 14,779.60

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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.