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Finding the Fourth Proportional to 16,583.76, 24,875.92 and 4,894.32

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Solution

The fourth proportional to 16,583.76, 24,875.92 and 4,894.32 is: 7,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.76 : 24,875.92 = 4,894.32 : x
  2. Step 2: Convert to fraction form
    16,583.76/24,875.92 = 4,894.32/x
  3. Step 3: Cross multiply
    16,583.76x = 24,875.92 × 4,894.32
  4. Step 4: Simplify right side
    16,583.76x = 121,750,712.77
  5. Step 5: Solve for x
    x = 121,750,712.77/16,583.76
  6. Step 6: Final answer
    x = 7,341.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.