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Finding the Fourth Proportional to 12,706.90, 17,535.04 and 7,041.50

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Solution

The fourth proportional to 12,706.90, 17,535.04 and 7,041.50 is: 9,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.90 : 17,535.04 = 7,041.50 : x
  2. Step 2: Convert to fraction form
    12,706.90/17,535.04 = 7,041.50/x
  3. Step 3: Cross multiply
    12,706.90x = 17,535.04 × 7,041.50
  4. Step 4: Simplify right side
    12,706.90x = 123,472,981.12
  5. Step 5: Solve for x
    x = 123,472,981.12/12,706.90
  6. Step 6: Final answer
    x = 9,717.00

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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.