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Finding the Fourth Proportional to 14,032.36, 19,364.76 and 7,659

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Solution

The fourth proportional to 14,032.36, 19,364.76 and 7,659 is: 10,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.36 : 19,364.76 = 7,659 : x
  2. Step 2: Convert to fraction form
    14,032.36/19,364.76 = 7,659/x
  3. Step 3: Cross multiply
    14,032.36x = 19,364.76 × 7,659
  4. Step 4: Simplify right side
    14,032.36x = 148,314,696.84
  5. Step 5: Solve for x
    x = 148,314,696.84/14,032.36
  6. Step 6: Final answer
    x = 10,569.48

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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.