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Finding the Fourth Proportional to 14,672, 22,008.64 and 4,284.64

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Solution

The fourth proportional to 14,672, 22,008.64 and 4,284.64 is: 6,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672 : 22,008.64 = 4,284.64 : x
  2. Step 2: Convert to fraction form
    14,672/22,008.64 = 4,284.64/x
  3. Step 3: Cross multiply
    14,672x = 22,008.64 × 4,284.64
  4. Step 4: Simplify right side
    14,672x = 94,299,099.29
  5. Step 5: Solve for x
    x = 94,299,099.29/14,672
  6. Step 6: Final answer
    x = 6,427.15

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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.