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Finding the Fourth Proportional to 15,389.51, 23,076 and 7,975.58

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Solution

The fourth proportional to 15,389.51, 23,076 and 7,975.58 is: 11,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,389.51 : 23,076 = 7,975.58 : x
  2. Step 2: Convert to fraction form
    15,389.51/23,076 = 7,975.58/x
  3. Step 3: Cross multiply
    15,389.51x = 23,076 × 7,975.58
  4. Step 4: Simplify right side
    15,389.51x = 184,044,368.70
  5. Step 5: Solve for x
    x = 184,044,368.70/15,389.51
  6. Step 6: Final answer
    x = 11,959.08

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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.