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Finding the Fourth Proportional to 15,302.77, 22,904.93 and 7,897.14

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Solution

The fourth proportional to 15,302.77, 22,904.93 and 7,897.14 is: 11,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302.77 : 22,904.93 = 7,897.14 : x
  2. Step 2: Convert to fraction form
    15,302.77/22,904.93 = 7,897.14/x
  3. Step 3: Cross multiply
    15,302.77x = 22,904.93 × 7,897.14
  4. Step 4: Simplify right side
    15,302.77x = 180,883,458.64
  5. Step 5: Solve for x
    x = 180,883,458.64/15,302.77
  6. Step 6: Final answer
    x = 11,820.31

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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.