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Finding the Fourth Proportional to 14,971.78, 22,457.70 and 4,583.50

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Solution

The fourth proportional to 14,971.78, 22,457.70 and 4,583.50 is: 6,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.78 : 22,457.70 = 4,583.50 : x
  2. Step 2: Convert to fraction form
    14,971.78/22,457.70 = 4,583.50/x
  3. Step 3: Cross multiply
    14,971.78x = 22,457.70 × 4,583.50
  4. Step 4: Simplify right side
    14,971.78x = 102,934,867.95
  5. Step 5: Solve for x
    x = 102,934,867.95/14,971.78
  6. Step 6: Final answer
    x = 6,875.26

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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.