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Finding the Fourth Proportional to 22,509.66, 31,030.38 and 15,774.93

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Solution

The fourth proportional to 22,509.66, 31,030.38 and 15,774.93 is: 21,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.66 : 31,030.38 = 15,774.93 : x
  2. Step 2: Convert to fraction form
    22,509.66/31,030.38 = 15,774.93/x
  3. Step 3: Cross multiply
    22,509.66x = 31,030.38 × 15,774.93
  4. Step 4: Simplify right side
    22,509.66x = 489,502,072.37
  5. Step 5: Solve for x
    x = 489,502,072.37/22,509.66
  6. Step 6: Final answer
    x = 21,746.31

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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.