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Finding the Fourth Proportional to 14,364.16, 19,823 and 8,699.96

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Solution

The fourth proportional to 14,364.16, 19,823 and 8,699.96 is: 12,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.16 : 19,823 = 8,699.96 : x
  2. Step 2: Convert to fraction form
    14,364.16/19,823 = 8,699.96/x
  3. Step 3: Cross multiply
    14,364.16x = 19,823 × 8,699.96
  4. Step 4: Simplify right side
    14,364.16x = 172,459,307.08
  5. Step 5: Solve for x
    x = 172,459,307.08/14,364.16
  6. Step 6: Final answer
    x = 12,006.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.