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Finding the Fourth Proportional to 15,657.40, 23,492.85 and 9,089.20

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Solution

The fourth proportional to 15,657.40, 23,492.85 and 9,089.20 is: 13,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.40 : 23,492.85 = 9,089.20 : x
  2. Step 2: Convert to fraction form
    15,657.40/23,492.85 = 9,089.20/x
  3. Step 3: Cross multiply
    15,657.40x = 23,492.85 × 9,089.20
  4. Step 4: Simplify right side
    15,657.40x = 213,531,212.22
  5. Step 5: Solve for x
    x = 213,531,212.22/15,657.40
  6. Step 6: Final answer
    x = 13,637.72

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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.