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Finding the Fourth Proportional to 23,655.65, 32,646.31 and 13,045.32

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Solution

The fourth proportional to 23,655.65, 32,646.31 and 13,045.32 is: 18,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.65 : 32,646.31 = 13,045.32 : x
  2. Step 2: Convert to fraction form
    23,655.65/32,646.31 = 13,045.32/x
  3. Step 3: Cross multiply
    23,655.65x = 32,646.31 × 13,045.32
  4. Step 4: Simplify right side
    23,655.65x = 425,881,528.16
  5. Step 5: Solve for x
    x = 425,881,528.16/23,655.65
  6. Step 6: Final answer
    x = 18,003.38

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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.