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Finding the Fourth Proportional to 22,809.33, 31,465.95 and 14,307.19

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Solution

The fourth proportional to 22,809.33, 31,465.95 and 14,307.19 is: 19,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.33 : 31,465.95 = 14,307.19 : x
  2. Step 2: Convert to fraction form
    22,809.33/31,465.95 = 14,307.19/x
  3. Step 3: Cross multiply
    22,809.33x = 31,465.95 × 14,307.19
  4. Step 4: Simplify right side
    22,809.33x = 450,189,364.51
  5. Step 5: Solve for x
    x = 450,189,364.51/22,809.33
  6. Step 6: Final answer
    x = 19,737.07

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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.