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Finding the Fourth Proportional to 16,435.84, 24,657 and 4,749.16

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Solution

The fourth proportional to 16,435.84, 24,657 and 4,749.16 is: 7,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.84 : 24,657 = 4,749.16 : x
  2. Step 2: Convert to fraction form
    16,435.84/24,657 = 4,749.16/x
  3. Step 3: Cross multiply
    16,435.84x = 24,657 × 4,749.16
  4. Step 4: Simplify right side
    16,435.84x = 117,100,038.12
  5. Step 5: Solve for x
    x = 117,100,038.12/16,435.84
  6. Step 6: Final answer
    x = 7,124.68

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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.