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Finding the Fourth Proportional to 19,905, 27,477.54 and 12,457.32

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Solution

The fourth proportional to 19,905, 27,477.54 and 12,457.32 is: 17,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,905 : 27,477.54 = 12,457.32 : x
  2. Step 2: Convert to fraction form
    19,905/27,477.54 = 12,457.32/x
  3. Step 3: Cross multiply
    19,905x = 27,477.54 × 12,457.32
  4. Step 4: Simplify right side
    19,905x = 342,296,508.59
  5. Step 5: Solve for x
    x = 342,296,508.59/19,905
  6. Step 6: Final answer
    x = 17,196.51

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