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Finding the Fourth Proportional to 16,263.40, 24,427.86 and 9,702.40

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Solution

The fourth proportional to 16,263.40, 24,427.86 and 9,702.40 is: 14,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263.40 : 24,427.86 = 9,702.40 : x
  2. Step 2: Convert to fraction form
    16,263.40/24,427.86 = 9,702.40/x
  3. Step 3: Cross multiply
    16,263.40x = 24,427.86 × 9,702.40
  4. Step 4: Simplify right side
    16,263.40x = 237,008,868.86
  5. Step 5: Solve for x
    x = 237,008,868.86/16,263.40
  6. Step 6: Final answer
    x = 14,573.14

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1.5x scale

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.