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Finding the Fourth Proportional to 14,905.84, 20,570.88 and 8,941.72

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Solution

The fourth proportional to 14,905.84, 20,570.88 and 8,941.72 is: 12,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.84 : 20,570.88 = 8,941.72 : x
  2. Step 2: Convert to fraction form
    14,905.84/20,570.88 = 8,941.72/x
  3. Step 3: Cross multiply
    14,905.84x = 20,570.88 × 8,941.72
  4. Step 4: Simplify right side
    14,905.84x = 183,939,049.11
  5. Step 5: Solve for x
    x = 183,939,049.11/14,905.84
  6. Step 6: Final answer
    x = 12,340.07

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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.