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Finding the Fourth Proportional to 14,417.84, 21,598.70 and 8,158.92

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Solution

The fourth proportional to 14,417.84, 21,598.70 and 8,158.92 is: 12,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.84 : 21,598.70 = 8,158.92 : x
  2. Step 2: Convert to fraction form
    14,417.84/21,598.70 = 8,158.92/x
  3. Step 3: Cross multiply
    14,417.84x = 21,598.70 × 8,158.92
  4. Step 4: Simplify right side
    14,417.84x = 176,222,065.40
  5. Step 5: Solve for x
    x = 176,222,065.40/14,417.84
  6. Step 6: Final answer
    x = 12,222.50

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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.