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Finding the Fourth Proportional to 23,830.64, 32,886.96 and 13,076

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Solution

The fourth proportional to 23,830.64, 32,886.96 and 13,076 is: 18,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.64 : 32,886.96 = 13,076 : x
  2. Step 2: Convert to fraction form
    23,830.64/32,886.96 = 13,076/x
  3. Step 3: Cross multiply
    23,830.64x = 32,886.96 × 13,076
  4. Step 4: Simplify right side
    23,830.64x = 430,029,888.96
  5. Step 5: Solve for x
    x = 430,029,888.96/23,830.64
  6. Step 6: Final answer
    x = 18,045.25

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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.