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Finding the Fourth Proportional to 14,193.92, 19,583.88 and 9,470

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Solution

The fourth proportional to 14,193.92, 19,583.88 and 9,470 is: 13,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.92 : 19,583.88 = 9,470 : x
  2. Step 2: Convert to fraction form
    14,193.92/19,583.88 = 9,470/x
  3. Step 3: Cross multiply
    14,193.92x = 19,583.88 × 9,470
  4. Step 4: Simplify right side
    14,193.92x = 185,459,343.60
  5. Step 5: Solve for x
    x = 185,459,343.60/14,193.92
  6. Step 6: Final answer
    x = 13,066.11

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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.