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Finding the Fourth Proportional to 13,266.90, 18,307.86 and 7,298.51

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Solution

The fourth proportional to 13,266.90, 18,307.86 and 7,298.51 is: 10,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.90 : 18,307.86 = 7,298.51 : x
  2. Step 2: Convert to fraction form
    13,266.90/18,307.86 = 7,298.51/x
  3. Step 3: Cross multiply
    13,266.90x = 18,307.86 × 7,298.51
  4. Step 4: Simplify right side
    13,266.90x = 133,620,007.75
  5. Step 5: Solve for x
    x = 133,620,007.75/13,266.90
  6. Step 6: Final answer
    x = 10,071.68

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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.