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Finding the Fourth Proportional to 14,205.17, 19,602.74 and 8,902.91

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Solution

The fourth proportional to 14,205.17, 19,602.74 and 8,902.91 is: 12,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.17 : 19,602.74 = 8,902.91 : x
  2. Step 2: Convert to fraction form
    14,205.17/19,602.74 = 8,902.91/x
  3. Step 3: Cross multiply
    14,205.17x = 19,602.74 × 8,902.91
  4. Step 4: Simplify right side
    14,205.17x = 174,521,385.46
  5. Step 5: Solve for x
    x = 174,521,385.46/14,205.17
  6. Step 6: Final answer
    x = 12,285.77

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1.5x scale

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.