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Finding the Fourth Proportional to 30,442.84, 42,009.06 and 17,013.40

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Solution

The fourth proportional to 30,442.84, 42,009.06 and 17,013.40 is: 23,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.84 : 42,009.06 = 17,013.40 : x
  2. Step 2: Convert to fraction form
    30,442.84/42,009.06 = 17,013.40/x
  3. Step 3: Cross multiply
    30,442.84x = 42,009.06 × 17,013.40
  4. Step 4: Simplify right side
    30,442.84x = 714,716,941.40
  5. Step 5: Solve for x
    x = 714,716,941.40/30,442.84
  6. Step 6: Final answer
    x = 23,477.34

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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.