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Finding the Fourth Proportional to 14,130.86, 19,498.59 and 8,464.28

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Solution

The fourth proportional to 14,130.86, 19,498.59 and 8,464.28 is: 11,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.86 : 19,498.59 = 8,464.28 : x
  2. Step 2: Convert to fraction form
    14,130.86/19,498.59 = 8,464.28/x
  3. Step 3: Cross multiply
    14,130.86x = 19,498.59 × 8,464.28
  4. Step 4: Simplify right side
    14,130.86x = 165,041,427.87
  5. Step 5: Solve for x
    x = 165,041,427.87/14,130.86
  6. Step 6: Final answer
    x = 11,679.51

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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.