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Finding the Fourth Proportional to 42,356.16, 63,540 and 14,656.32

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Solution

The fourth proportional to 42,356.16, 63,540 and 14,656.32 is: 21,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,356.16 : 63,540 = 14,656.32 : x
  2. Step 2: Convert to fraction form
    42,356.16/63,540 = 14,656.32/x
  3. Step 3: Cross multiply
    42,356.16x = 63,540 × 14,656.32
  4. Step 4: Simplify right side
    42,356.16x = 931,262,572.80
  5. Step 5: Solve for x
    x = 931,262,572.80/42,356.16
  6. Step 6: Final answer
    x = 21,986.47

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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.