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Finding the Fourth Proportional to 14,416.86, 19,895.52 and 8,827.86

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Solution

The fourth proportional to 14,416.86, 19,895.52 and 8,827.86 is: 12,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.86 : 19,895.52 = 8,827.86 : x
  2. Step 2: Convert to fraction form
    14,416.86/19,895.52 = 8,827.86/x
  3. Step 3: Cross multiply
    14,416.86x = 19,895.52 × 8,827.86
  4. Step 4: Simplify right side
    14,416.86x = 175,634,865.19
  5. Step 5: Solve for x
    x = 175,634,865.19/14,416.86
  6. Step 6: Final answer
    x = 12,182.60

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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.