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Finding the Fourth Proportional to 30,840.52, 42,564.26 and 17,417.16

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Solution

The fourth proportional to 30,840.52, 42,564.26 and 17,417.16 is: 24,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.52 : 42,564.26 = 17,417.16 : x
  2. Step 2: Convert to fraction form
    30,840.52/42,564.26 = 17,417.16/x
  3. Step 3: Cross multiply
    30,840.52x = 42,564.26 × 17,417.16
  4. Step 4: Simplify right side
    30,840.52x = 741,348,526.70
  5. Step 5: Solve for x
    x = 741,348,526.70/30,840.52
  6. Step 6: Final answer
    x = 24,038.13

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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.