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Finding the Fourth Proportional to 14,032.48, 19,364.67 and 7,659.02

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Solution

The fourth proportional to 14,032.48, 19,364.67 and 7,659.02 is: 10,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.48 : 19,364.67 = 7,659.02 : x
  2. Step 2: Convert to fraction form
    14,032.48/19,364.67 = 7,659.02/x
  3. Step 3: Cross multiply
    14,032.48x = 19,364.67 × 7,659.02
  4. Step 4: Simplify right side
    14,032.48x = 148,314,388.77
  5. Step 5: Solve for x
    x = 148,314,388.77/14,032.48
  6. Step 6: Final answer
    x = 10,569.36

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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.