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Finding the Fourth Proportional to 14,170.02, 21,225.86 and 8,312.50

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Solution

The fourth proportional to 14,170.02, 21,225.86 and 8,312.50 is: 12,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170.02 : 21,225.86 = 8,312.50 : x
  2. Step 2: Convert to fraction form
    14,170.02/21,225.86 = 8,312.50/x
  3. Step 3: Cross multiply
    14,170.02x = 21,225.86 × 8,312.50
  4. Step 4: Simplify right side
    14,170.02x = 176,439,961.25
  5. Step 5: Solve for x
    x = 176,439,961.25/14,170.02
  6. Step 6: Final answer
    x = 12,451.64

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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.