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Finding the Fourth Proportional to 14,294.86, 19,726.88 and 8,705.86

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Solution

The fourth proportional to 14,294.86, 19,726.88 and 8,705.86 is: 12,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.86 : 19,726.88 = 8,705.86 : x
  2. Step 2: Convert to fraction form
    14,294.86/19,726.88 = 8,705.86/x
  3. Step 3: Cross multiply
    14,294.86x = 19,726.88 × 8,705.86
  4. Step 4: Simplify right side
    14,294.86x = 171,739,455.52
  5. Step 5: Solve for x
    x = 171,739,455.52/14,294.86
  6. Step 6: Final answer
    x = 12,014.07

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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.