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Finding the Fourth Proportional to 23,416.18, 35,116.96 and 7,830.16

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Solution

The fourth proportional to 23,416.18, 35,116.96 and 7,830.16 is: 11,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.18 : 35,116.96 = 7,830.16 : x
  2. Step 2: Convert to fraction form
    23,416.18/35,116.96 = 7,830.16/x
  3. Step 3: Cross multiply
    23,416.18x = 35,116.96 × 7,830.16
  4. Step 4: Simplify right side
    23,416.18x = 274,971,415.51
  5. Step 5: Solve for x
    x = 274,971,415.51/23,416.18
  6. Step 6: Final answer
    x = 11,742.80

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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.