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Finding the Fourth Proportional to 14,153.94, 19,532.41 and 7,866.32

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Solution

The fourth proportional to 14,153.94, 19,532.41 and 7,866.32 is: 10,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.94 : 19,532.41 = 7,866.32 : x
  2. Step 2: Convert to fraction form
    14,153.94/19,532.41 = 7,866.32/x
  3. Step 3: Cross multiply
    14,153.94x = 19,532.41 × 7,866.32
  4. Step 4: Simplify right side
    14,153.94x = 153,648,070.10
  5. Step 5: Solve for x
    x = 153,648,070.10/14,153.94
  6. Step 6: Final answer
    x = 10,855.50

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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.