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Finding the Fourth Proportional to 15,389.12, 23,069.16 and 7,486.64

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Solution

The fourth proportional to 15,389.12, 23,069.16 and 7,486.64 is: 11,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,389.12 : 23,069.16 = 7,486.64 : x
  2. Step 2: Convert to fraction form
    15,389.12/23,069.16 = 7,486.64/x
  3. Step 3: Cross multiply
    15,389.12x = 23,069.16 × 7,486.64
  4. Step 4: Simplify right side
    15,389.12x = 172,710,496.02
  5. Step 5: Solve for x
    x = 172,710,496.02/15,389.12
  6. Step 6: Final answer
    x = 11,222.90

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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.