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Finding the Fourth Proportional to 22,852.29, 31,533.99 and 12,779.34

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Solution

The fourth proportional to 22,852.29, 31,533.99 and 12,779.34 is: 17,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.29 : 31,533.99 = 12,779.34 : x
  2. Step 2: Convert to fraction form
    22,852.29/31,533.99 = 12,779.34/x
  3. Step 3: Cross multiply
    22,852.29x = 31,533.99 × 12,779.34
  4. Step 4: Simplify right side
    22,852.29x = 402,983,579.77
  5. Step 5: Solve for x
    x = 402,983,579.77/22,852.29
  6. Step 6: Final answer
    x = 17,634.28

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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.