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Finding the Fourth Proportional to 22,809.68, 31,477.85 and 14,312.13

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Solution

The fourth proportional to 22,809.68, 31,477.85 and 14,312.13 is: 19,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.68 : 31,477.85 = 14,312.13 : x
  2. Step 2: Convert to fraction form
    22,809.68/31,477.85 = 14,312.13/x
  3. Step 3: Cross multiply
    22,809.68x = 31,477.85 × 14,312.13
  4. Step 4: Simplify right side
    22,809.68x = 450,515,009.76
  5. Step 5: Solve for x
    x = 450,515,009.76/22,809.68
  6. Step 6: Final answer
    x = 19,751.05

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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.