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Finding the Fourth Proportional to 19,297, 26,629.86 and 10,465

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Solution

The fourth proportional to 19,297, 26,629.86 and 10,465 is: 14,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297 : 26,629.86 = 10,465 : x
  2. Step 2: Convert to fraction form
    19,297/26,629.86 = 10,465/x
  3. Step 3: Cross multiply
    19,297x = 26,629.86 × 10,465
  4. Step 4: Simplify right side
    19,297x = 278,681,484.90
  5. Step 5: Solve for x
    x = 278,681,484.90/19,297
  6. Step 6: Final answer
    x = 14,441.70

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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.