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Finding the Fourth Proportional to 23,193.48, 32,006.87 and 12,582.89

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Solution

The fourth proportional to 23,193.48, 32,006.87 and 12,582.89 is: 17,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.48 : 32,006.87 = 12,582.89 : x
  2. Step 2: Convert to fraction form
    23,193.48/32,006.87 = 12,582.89/x
  3. Step 3: Cross multiply
    23,193.48x = 32,006.87 × 12,582.89
  4. Step 4: Simplify right side
    23,193.48x = 402,738,701.51
  5. Step 5: Solve for x
    x = 402,738,701.51/23,193.48
  6. Step 6: Final answer
    x = 17,364.31

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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.