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Finding the Fourth Proportional to 22,848.68, 31,521.90 and 14,888

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Solution

The fourth proportional to 22,848.68, 31,521.90 and 14,888 is: 20,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.68 : 31,521.90 = 14,888 : x
  2. Step 2: Convert to fraction form
    22,848.68/31,521.90 = 14,888/x
  3. Step 3: Cross multiply
    22,848.68x = 31,521.90 × 14,888
  4. Step 4: Simplify right side
    22,848.68x = 469,298,047.20
  5. Step 5: Solve for x
    x = 469,298,047.20/22,848.68
  6. Step 6: Final answer
    x = 20,539.39

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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.