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Finding the Fourth Proportional to 13,032.85, 19,547.45 and 4,266.63

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Solution

The fourth proportional to 13,032.85, 19,547.45 and 4,266.63 is: 6,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.85 : 19,547.45 = 4,266.63 : x
  2. Step 2: Convert to fraction form
    13,032.85/19,547.45 = 4,266.63/x
  3. Step 3: Cross multiply
    13,032.85x = 19,547.45 × 4,266.63
  4. Step 4: Simplify right side
    13,032.85x = 83,401,736.59
  5. Step 5: Solve for x
    x = 83,401,736.59/13,032.85
  6. Step 6: Final answer
    x = 6,399.35

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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.