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Finding the Fourth Proportional to 14,320.42, 19,762.14 and 8,032.80

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Solution

The fourth proportional to 14,320.42, 19,762.14 and 8,032.80 is: 11,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.42 : 19,762.14 = 8,032.80 : x
  2. Step 2: Convert to fraction form
    14,320.42/19,762.14 = 8,032.80/x
  3. Step 3: Cross multiply
    14,320.42x = 19,762.14 × 8,032.80
  4. Step 4: Simplify right side
    14,320.42x = 158,745,318.19
  5. Step 5: Solve for x
    x = 158,745,318.19/14,320.42
  6. Step 6: Final answer
    x = 11,085.24

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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.