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Finding the Fourth Proportional to 22,848.82, 31,526.53 and 13,411.86

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Solution

The fourth proportional to 22,848.82, 31,526.53 and 13,411.86 is: 18,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.82 : 31,526.53 = 13,411.86 : x
  2. Step 2: Convert to fraction form
    22,848.82/31,526.53 = 13,411.86/x
  3. Step 3: Cross multiply
    22,848.82x = 31,526.53 × 13,411.86
  4. Step 4: Simplify right side
    22,848.82x = 422,829,406.65
  5. Step 5: Solve for x
    x = 422,829,406.65/22,848.82
  6. Step 6: Final answer
    x = 18,505.52

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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.