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Finding the Fourth Proportional to 13,011.84, 17,955.20 and 7,705.76

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Solution

The fourth proportional to 13,011.84, 17,955.20 and 7,705.76 is: 10,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.84 : 17,955.20 = 7,705.76 : x
  2. Step 2: Convert to fraction form
    13,011.84/17,955.20 = 7,705.76/x
  3. Step 3: Cross multiply
    13,011.84x = 17,955.20 × 7,705.76
  4. Step 4: Simplify right side
    13,011.84x = 138,358,461.95
  5. Step 5: Solve for x
    x = 138,358,461.95/13,011.84
  6. Step 6: Final answer
    x = 10,633.27

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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.