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Finding the Fourth Proportional to 23,547.40, 35,333.22 and 13,015.46

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Solution

The fourth proportional to 23,547.40, 35,333.22 and 13,015.46 is: 19,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.40 : 35,333.22 = 13,015.46 : x
  2. Step 2: Convert to fraction form
    23,547.40/35,333.22 = 13,015.46/x
  3. Step 3: Cross multiply
    23,547.40x = 35,333.22 × 13,015.46
  4. Step 4: Simplify right side
    23,547.40x = 459,878,111.58
  5. Step 5: Solve for x
    x = 459,878,111.58/23,547.40
  6. Step 6: Final answer
    x = 19,529.89

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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.