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Finding the Fourth Proportional to 13,547.16, 20,329.40 and 5,755.98

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Solution

The fourth proportional to 13,547.16, 20,329.40 and 5,755.98 is: 8,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.16 : 20,329.40 = 5,755.98 : x
  2. Step 2: Convert to fraction form
    13,547.16/20,329.40 = 5,755.98/x
  3. Step 3: Cross multiply
    13,547.16x = 20,329.40 × 5,755.98
  4. Step 4: Simplify right side
    13,547.16x = 117,015,619.81
  5. Step 5: Solve for x
    x = 117,015,619.81/13,547.16
  6. Step 6: Final answer
    x = 8,637.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.