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Finding the Fourth Proportional to 12,457.17, 18,648.45 and 12,014.10

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Solution

The fourth proportional to 12,457.17, 18,648.45 and 12,014.10 is: 17,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.17 : 18,648.45 = 12,014.10 : x
  2. Step 2: Convert to fraction form
    12,457.17/18,648.45 = 12,014.10/x
  3. Step 3: Cross multiply
    12,457.17x = 18,648.45 × 12,014.10
  4. Step 4: Simplify right side
    12,457.17x = 224,044,343.15
  5. Step 5: Solve for x
    x = 224,044,343.15/12,457.17
  6. Step 6: Final answer
    x = 17,985.17

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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.