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Finding the Fourth Proportional to 14,312.69, 21,465.54 and 11,184.94

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Solution

The fourth proportional to 14,312.69, 21,465.54 and 11,184.94 is: 16,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.69 : 21,465.54 = 11,184.94 : x
  2. Step 2: Convert to fraction form
    14,312.69/21,465.54 = 11,184.94/x
  3. Step 3: Cross multiply
    14,312.69x = 21,465.54 × 11,184.94
  4. Step 4: Simplify right side
    14,312.69x = 240,090,776.97
  5. Step 5: Solve for x
    x = 240,090,776.97/14,312.69
  6. Step 6: Final answer
    x = 16,774.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.