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Finding the Fourth Proportional to 14,038.58, 19,367.02 and 9,499.64

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Solution

The fourth proportional to 14,038.58, 19,367.02 and 9,499.64 is: 13,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.58 : 19,367.02 = 9,499.64 : x
  2. Step 2: Convert to fraction form
    14,038.58/19,367.02 = 9,499.64/x
  3. Step 3: Cross multiply
    14,038.58x = 19,367.02 × 9,499.64
  4. Step 4: Simplify right side
    14,038.58x = 183,979,597.29
  5. Step 5: Solve for x
    x = 183,979,597.29/14,038.58
  6. Step 6: Final answer
    x = 13,105.29

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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.