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Finding the Fourth Proportional to 35,695.28, 53,547.63 and 13,202.90

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Solution

The fourth proportional to 35,695.28, 53,547.63 and 13,202.90 is: 19,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.28 : 53,547.63 = 13,202.90 : x
  2. Step 2: Convert to fraction form
    35,695.28/53,547.63 = 13,202.90/x
  3. Step 3: Cross multiply
    35,695.28x = 53,547.63 × 13,202.90
  4. Step 4: Simplify right side
    35,695.28x = 706,984,004.13
  5. Step 5: Solve for x
    x = 706,984,004.13/35,695.28
  6. Step 6: Final answer
    x = 19,806.09

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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.