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Finding the Fourth Proportional to 15,476.64, 23,225.12 and 9,232

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Solution

The fourth proportional to 15,476.64, 23,225.12 and 9,232 is: 13,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476.64 : 23,225.12 = 9,232 : x
  2. Step 2: Convert to fraction form
    15,476.64/23,225.12 = 9,232/x
  3. Step 3: Cross multiply
    15,476.64x = 23,225.12 × 9,232
  4. Step 4: Simplify right side
    15,476.64x = 214,414,307.84
  5. Step 5: Solve for x
    x = 214,414,307.84/15,476.64
  6. Step 6: Final answer
    x = 13,854.06

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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.