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Finding the Fourth Proportional to 14,572, 20,109.44 and 7,948

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Solution

The fourth proportional to 14,572, 20,109.44 and 7,948 is: 10,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572 : 20,109.44 = 7,948 : x
  2. Step 2: Convert to fraction form
    14,572/20,109.44 = 7,948/x
  3. Step 3: Cross multiply
    14,572x = 20,109.44 × 7,948
  4. Step 4: Simplify right side
    14,572x = 159,829,829.12
  5. Step 5: Solve for x
    x = 159,829,829.12/14,572
  6. Step 6: Final answer
    x = 10,968.28

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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.