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Finding the Fourth Proportional to 14,492.12, 19,999.38 and 8,827.07

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Solution

The fourth proportional to 14,492.12, 19,999.38 and 8,827.07 is: 12,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.12 : 19,999.38 = 8,827.07 : x
  2. Step 2: Convert to fraction form
    14,492.12/19,999.38 = 8,827.07/x
  3. Step 3: Cross multiply
    14,492.12x = 19,999.38 × 8,827.07
  4. Step 4: Simplify right side
    14,492.12x = 176,535,827.22
  5. Step 5: Solve for x
    x = 176,535,827.22/14,492.12
  6. Step 6: Final answer
    x = 12,181.51

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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.