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Finding the Fourth Proportional to 23,098.88, 31,865 and 14,483.54

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Solution

The fourth proportional to 23,098.88, 31,865 and 14,483.54 is: 19,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.88 : 31,865 = 14,483.54 : x
  2. Step 2: Convert to fraction form
    23,098.88/31,865 = 14,483.54/x
  3. Step 3: Cross multiply
    23,098.88x = 31,865 × 14,483.54
  4. Step 4: Simplify right side
    23,098.88x = 461,518,002.10
  5. Step 5: Solve for x
    x = 461,518,002.10/23,098.88
  6. Step 6: Final answer
    x = 19,980.10

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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.