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Finding the Fourth Proportional to 15,416.90, 23,124.16 and 4,323

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Solution

The fourth proportional to 15,416.90, 23,124.16 and 4,323 is: 6,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.90 : 23,124.16 = 4,323 : x
  2. Step 2: Convert to fraction form
    15,416.90/23,124.16 = 4,323/x
  3. Step 3: Cross multiply
    15,416.90x = 23,124.16 × 4,323
  4. Step 4: Simplify right side
    15,416.90x = 99,965,743.68
  5. Step 5: Solve for x
    x = 99,965,743.68/15,416.90
  6. Step 6: Final answer
    x = 6,484.17

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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.