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Finding the Fourth Proportional to 25,578.69, 35,298.69 and 14,966.28

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Solution

The fourth proportional to 25,578.69, 35,298.69 and 14,966.28 is: 20,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.69 : 35,298.69 = 14,966.28 : x
  2. Step 2: Convert to fraction form
    25,578.69/35,298.69 = 14,966.28/x
  3. Step 3: Cross multiply
    25,578.69x = 35,298.69 × 14,966.28
  4. Step 4: Simplify right side
    25,578.69x = 528,290,078.17
  5. Step 5: Solve for x
    x = 528,290,078.17/25,578.69
  6. Step 6: Final answer
    x = 20,653.52

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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.