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Finding the Fourth Proportional to 23,653.48, 32,641.62 and 12,898.96

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Solution

The fourth proportional to 23,653.48, 32,641.62 and 12,898.96 is: 17,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.48 : 32,641.62 = 12,898.96 : x
  2. Step 2: Convert to fraction form
    23,653.48/32,641.62 = 12,898.96/x
  3. Step 3: Cross multiply
    23,653.48x = 32,641.62 × 12,898.96
  4. Step 4: Simplify right side
    23,653.48x = 421,042,950.72
  5. Step 5: Solve for x
    x = 421,042,950.72/23,653.48
  6. Step 6: Final answer
    x = 17,800.47

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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.