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Finding the Fourth Proportional to 30,670.40, 45,986.88 and 13,130.24

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Solution

The fourth proportional to 30,670.40, 45,986.88 and 13,130.24 is: 19,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.40 : 45,986.88 = 13,130.24 : x
  2. Step 2: Convert to fraction form
    30,670.40/45,986.88 = 13,130.24/x
  3. Step 3: Cross multiply
    30,670.40x = 45,986.88 × 13,130.24
  4. Step 4: Simplify right side
    30,670.40x = 603,818,771.25
  5. Step 5: Solve for x
    x = 603,818,771.25/30,670.40
  6. Step 6: Final answer
    x = 19,687.35

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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.