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Finding the Fourth Proportional to 14,415.84, 21,595.71 and 8,156.91

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Solution

The fourth proportional to 14,415.84, 21,595.71 and 8,156.91 is: 12,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.84 : 21,595.71 = 8,156.91 : x
  2. Step 2: Convert to fraction form
    14,415.84/21,595.71 = 8,156.91/x
  3. Step 3: Cross multiply
    14,415.84x = 21,595.71 × 8,156.91
  4. Step 4: Simplify right side
    14,415.84x = 176,154,262.86
  5. Step 5: Solve for x
    x = 176,154,262.86/14,415.84
  6. Step 6: Final answer
    x = 12,219.49

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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.