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Finding the Fourth Proportional to 23,457.69, 35,182.80 and 7,662.58

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Solution

The fourth proportional to 23,457.69, 35,182.80 and 7,662.58 is: 11,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.69 : 35,182.80 = 7,662.58 : x
  2. Step 2: Convert to fraction form
    23,457.69/35,182.80 = 7,662.58/x
  3. Step 3: Cross multiply
    23,457.69x = 35,182.80 × 7,662.58
  4. Step 4: Simplify right side
    23,457.69x = 269,590,931.67
  5. Step 5: Solve for x
    x = 269,590,931.67/23,457.69
  6. Step 6: Final answer
    x = 11,492.65

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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.