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Finding the Fourth Proportional to 20,730, 28,607.40 and 11,298.63

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Solution

The fourth proportional to 20,730, 28,607.40 and 11,298.63 is: 15,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730 : 28,607.40 = 11,298.63 : x
  2. Step 2: Convert to fraction form
    20,730/28,607.40 = 11,298.63/x
  3. Step 3: Cross multiply
    20,730x = 28,607.40 × 11,298.63
  4. Step 4: Simplify right side
    20,730x = 323,224,427.86
  5. Step 5: Solve for x
    x = 323,224,427.86/20,730
  6. Step 6: Final answer
    x = 15,592.11

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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.