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Finding the Fourth Proportional to 23,495.72, 32,424.54 and 12,886.16

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Solution

The fourth proportional to 23,495.72, 32,424.54 and 12,886.16 is: 17,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,495.72 : 32,424.54 = 12,886.16 : x
  2. Step 2: Convert to fraction form
    23,495.72/32,424.54 = 12,886.16/x
  3. Step 3: Cross multiply
    23,495.72x = 32,424.54 × 12,886.16
  4. Step 4: Simplify right side
    23,495.72x = 417,827,810.37
  5. Step 5: Solve for x
    x = 417,827,810.37/23,495.72
  6. Step 6: Final answer
    x = 17,783.15

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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.