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Finding the Fourth Proportional to 10,428.36, 15,618.14 and 9,053

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Solution

The fourth proportional to 10,428.36, 15,618.14 and 9,053 is: 13,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.36 : 15,618.14 = 9,053 : x
  2. Step 2: Convert to fraction form
    10,428.36/15,618.14 = 9,053/x
  3. Step 3: Cross multiply
    10,428.36x = 15,618.14 × 9,053
  4. Step 4: Simplify right side
    10,428.36x = 141,391,021.42
  5. Step 5: Solve for x
    x = 141,391,021.42/10,428.36
  6. Step 6: Final answer
    x = 13,558.32

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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.