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Finding the Fourth Proportional to 15,649.32, 23,458.16 and 9,810.02

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Solution

The fourth proportional to 15,649.32, 23,458.16 and 9,810.02 is: 14,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.32 : 23,458.16 = 9,810.02 : x
  2. Step 2: Convert to fraction form
    15,649.32/23,458.16 = 9,810.02/x
  3. Step 3: Cross multiply
    15,649.32x = 23,458.16 × 9,810.02
  4. Step 4: Simplify right side
    15,649.32x = 230,125,018.76
  5. Step 5: Solve for x
    x = 230,125,018.76/15,649.32
  6. Step 6: Final answer
    x = 14,705.11

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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.