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Finding the Fourth Proportional to 13,547.12, 18,697.95 and 8,243.64

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Solution

The fourth proportional to 13,547.12, 18,697.95 and 8,243.64 is: 11,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.12 : 18,697.95 = 8,243.64 : x
  2. Step 2: Convert to fraction form
    13,547.12/18,697.95 = 8,243.64/x
  3. Step 3: Cross multiply
    13,547.12x = 18,697.95 × 8,243.64
  4. Step 4: Simplify right side
    13,547.12x = 154,139,127.32
  5. Step 5: Solve for x
    x = 154,139,127.32/13,547.12
  6. Step 6: Final answer
    x = 11,378.00

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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.