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Finding the Fourth Proportional to 10,701.84, 14,772.64 and 9,580.80

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Solution

The fourth proportional to 10,701.84, 14,772.64 and 9,580.80 is: 13,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.84 : 14,772.64 = 9,580.80 : x
  2. Step 2: Convert to fraction form
    10,701.84/14,772.64 = 9,580.80/x
  3. Step 3: Cross multiply
    10,701.84x = 14,772.64 × 9,580.80
  4. Step 4: Simplify right side
    10,701.84x = 141,533,709.31
  5. Step 5: Solve for x
    x = 141,533,709.31/10,701.84
  6. Step 6: Final answer
    x = 13,225.18

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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.