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Finding the Fourth Proportional to 14,971, 22,457.40 and 4,582.84

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Solution

The fourth proportional to 14,971, 22,457.40 and 4,582.84 is: 6,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971 : 22,457.40 = 4,582.84 : x
  2. Step 2: Convert to fraction form
    14,971/22,457.40 = 4,582.84/x
  3. Step 3: Cross multiply
    14,971x = 22,457.40 × 4,582.84
  4. Step 4: Simplify right side
    14,971x = 102,918,671.02
  5. Step 5: Solve for x
    x = 102,918,671.02/14,971
  6. Step 6: Final answer
    x = 6,874.54

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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.