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Finding the Fourth Proportional to 14,595.84, 21,897 and 4,208.40

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Solution

The fourth proportional to 14,595.84, 21,897 and 4,208.40 is: 6,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.84 : 21,897 = 4,208.40 : x
  2. Step 2: Convert to fraction form
    14,595.84/21,897 = 4,208.40/x
  3. Step 3: Cross multiply
    14,595.84x = 21,897 × 4,208.40
  4. Step 4: Simplify right side
    14,595.84x = 92,151,334.80
  5. Step 5: Solve for x
    x = 92,151,334.80/14,595.84
  6. Step 6: Final answer
    x = 6,313.53

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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.