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Finding the Fourth Proportional to 13,953.77, 20,900.58 and 6,547.13

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Solution

The fourth proportional to 13,953.77, 20,900.58 and 6,547.13 is: 9,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.77 : 20,900.58 = 6,547.13 : x
  2. Step 2: Convert to fraction form
    13,953.77/20,900.58 = 6,547.13/x
  3. Step 3: Cross multiply
    13,953.77x = 20,900.58 × 6,547.13
  4. Step 4: Simplify right side
    13,953.77x = 136,838,800.49
  5. Step 5: Solve for x
    x = 136,838,800.49/13,953.77
  6. Step 6: Final answer
    x = 9,806.58

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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.