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Finding the Fourth Proportional to 13,547.20, 18,697.16 and 7,803.59

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Solution

The fourth proportional to 13,547.20, 18,697.16 and 7,803.59 is: 10,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.20 : 18,697.16 = 7,803.59 : x
  2. Step 2: Convert to fraction form
    13,547.20/18,697.16 = 7,803.59/x
  3. Step 3: Cross multiply
    13,547.20x = 18,697.16 × 7,803.59
  4. Step 4: Simplify right side
    13,547.20x = 145,904,877.32
  5. Step 5: Solve for x
    x = 145,904,877.32/13,547.20
  6. Step 6: Final answer
    x = 10,770.12

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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.