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Finding the Fourth Proportional to 14,016.85, 19,343.51 and 7,643.36

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Solution

The fourth proportional to 14,016.85, 19,343.51 and 7,643.36 is: 10,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.85 : 19,343.51 = 7,643.36 : x
  2. Step 2: Convert to fraction form
    14,016.85/19,343.51 = 7,643.36/x
  3. Step 3: Cross multiply
    14,016.85x = 19,343.51 × 7,643.36
  4. Step 4: Simplify right side
    14,016.85x = 147,849,449.40
  5. Step 5: Solve for x
    x = 147,849,449.40/14,016.85
  6. Step 6: Final answer
    x = 10,547.98

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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.