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Finding the Fourth Proportional to 23,681.60, 35,509.32 and 14,897.72

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Solution

The fourth proportional to 23,681.60, 35,509.32 and 14,897.72 is: 22,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.60 : 35,509.32 = 14,897.72 : x
  2. Step 2: Convert to fraction form
    23,681.60/35,509.32 = 14,897.72/x
  3. Step 3: Cross multiply
    23,681.60x = 35,509.32 × 14,897.72
  4. Step 4: Simplify right side
    23,681.60x = 529,007,906.75
  5. Step 5: Solve for x
    x = 529,007,906.75/23,681.60
  6. Step 6: Final answer
    x = 22,338.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.