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Finding the Fourth Proportional to 12,582.48, 18,854.28 and 8,364

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Solution

The fourth proportional to 12,582.48, 18,854.28 and 8,364 is: 12,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.48 : 18,854.28 = 8,364 : x
  2. Step 2: Convert to fraction form
    12,582.48/18,854.28 = 8,364/x
  3. Step 3: Cross multiply
    12,582.48x = 18,854.28 × 8,364
  4. Step 4: Simplify right side
    12,582.48x = 157,697,197.92
  5. Step 5: Solve for x
    x = 157,697,197.92/12,582.48
  6. Step 6: Final answer
    x = 12,533.08

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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.