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Finding the Fourth Proportional to 14,762, 22,109.88 and 11,465.12

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Solution

The fourth proportional to 14,762, 22,109.88 and 11,465.12 is: 17,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762 : 22,109.88 = 11,465.12 : x
  2. Step 2: Convert to fraction form
    14,762/22,109.88 = 11,465.12/x
  3. Step 3: Cross multiply
    14,762x = 22,109.88 × 11,465.12
  4. Step 4: Simplify right side
    14,762x = 253,492,427.39
  5. Step 5: Solve for x
    x = 253,492,427.39/14,762
  6. Step 6: Final answer
    x = 17,171.96

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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.