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Finding the Fourth Proportional to 14,597.16, 21,895.92 and 4,209

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Solution

The fourth proportional to 14,597.16, 21,895.92 and 4,209 is: 6,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.16 : 21,895.92 = 4,209 : x
  2. Step 2: Convert to fraction form
    14,597.16/21,895.92 = 4,209/x
  3. Step 3: Cross multiply
    14,597.16x = 21,895.92 × 4,209
  4. Step 4: Simplify right side
    14,597.16x = 92,159,927.28
  5. Step 5: Solve for x
    x = 92,159,927.28/14,597.16
  6. Step 6: Final answer
    x = 6,313.55

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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.