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Finding the Fourth Proportional to 19,495, 26,903.12 and 10,663

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Solution

The fourth proportional to 19,495, 26,903.12 and 10,663 is: 14,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,495 : 26,903.12 = 10,663 : x
  2. Step 2: Convert to fraction form
    19,495/26,903.12 = 10,663/x
  3. Step 3: Cross multiply
    19,495x = 26,903.12 × 10,663
  4. Step 4: Simplify right side
    19,495x = 286,867,968.56
  5. Step 5: Solve for x
    x = 286,867,968.56/19,495
  6. Step 6: Final answer
    x = 14,714.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.