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Finding the Fourth Proportional to 24,685, 34,065.32 and 13,507

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Solution

The fourth proportional to 24,685, 34,065.32 and 13,507 is: 18,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,685 : 34,065.32 = 13,507 : x
  2. Step 2: Convert to fraction form
    24,685/34,065.32 = 13,507/x
  3. Step 3: Cross multiply
    24,685x = 34,065.32 × 13,507
  4. Step 4: Simplify right side
    24,685x = 460,120,277.24
  5. Step 5: Solve for x
    x = 460,120,277.24/24,685
  6. Step 6: Final answer
    x = 18,639.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.